−0.1w+23.2=−0.8−0.1w+23.2=−0.8
(1 point)
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Step 1:
Add 23.2 to both sides of the equation.
Step 2:
Divide both sides of the equation by -0.1
Solution:
w = 240
w = -224
w = -240
w = 224
Subtract 23.2 from both sides of the equation.
Subtract 0.1 from both sides of the equation.
Multiply both side of the equation by -0.1.
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3 answers
Let's solve the equation step by step as outlined.
The equation provided is:
\[ -0.1w + 23.2 = -0.8 \]
Step 1: Add \( 23.2 \) to both sides of the equation.
This means we will subtract \( 23.2 \) from the left side and add it to the right side:
\[ -0.1w + 23.2 - 23.2 = -0.8 - 23.2 \]
This simplifies to:
\[ -0.1w = -24 \]
Step 2: Divide both sides by \( -0.1 \).
\[ w = \frac{-24}{-0.1} \]
Calculating this gives:
\[ w = 240 \]
Thus, the solution is:
Solution:
w = 240
Let's reevaluate Step 1 to ensure accuracy:
The original equation is:
\[ -0.1w + 23.2 = -0.8 \]
In Step 1, we want to isolate the \( w \) term. The correct action should be to subtract \( 23.2 \) from both sides (not add) to eliminate the constant on the left side.
So, let's perform the operation correctly:
Start with the original equation: \[ -0.1w + 23.2 = -0.8 \]
Subtract \( 23.2 \) from both sides: \[ -0.1w + 23.2 - 23.2 = -0.8 - 23.2 \] This simplifies to: \[ -0.1w = -0.8 - 23.2 \]
Which gives: \[ -0.1w = -24 \]
Thus, Step 1 should have been to subtract \( 23.2 \) from both sides of the equation, not add it.
With that correction, the remaining steps would still yield:
Step 2: Divide both sides by \( -0.1 \): \[ w = \frac{-24}{-0.1} = 240 \]
So, the final solution \( w = 240 \) is indeed correct, but the description of Step 1 initially given was incorrect. Thank you for catching that!
