7 (x - 8) = 49

Answer 1

To solve the equation 7(x-8) = 49:

First, distribute the 7 on the left side of the equation:

7x - 56 = 49

Next, isolate the variable by adding 56 to both sides:

7x = 105

Finally, divide both sides by 7 to find the value of x:

x = 15

Answer 2

-3 (y + 6) = 21

Answer 3

To solve the equation -3(y + 6) = 21, follow these steps:

Step 1: Distribute the -3 to the terms inside the parentheses:
-3 * y - 3 * 6 = 21
This simplifies to:
-3y - 18 = 21

Step 2: Add 18 to both sides of the equation to isolate the variable term:
-3y - 18 + 18 = 21 + 18
This simplifies to:
-3y = 39

Step 3: Divide both sides of the equation by -3 to solve for y:
-3y / -3 = 39 / -3
This simplifies to:
y = -13

Therefore, the solution to the equation -3(y + 6) = 21 is y = -13.