To solve the equation \(-4a + 3 + 5a = -23\), we can follow these steps:
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Combine like terms on the left side of the equation: \[ -4a + 5a = 1a \quad \text{(or simply } a\text{)} \] So, the equation simplifies to: \[ a + 3 = -23 \]
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Next, subtract 3 from both sides to solve for \(a\): \[ a = -23 - 3 \] \[ a = -26 \]
Since \(-26\) is not in the provided answer options (A. 21, B. -31, C. -21, D. 31), let's check if there was a misunderstanding in the original equation.
If we rewrite the original equation, it is: \(-4a + 3 + 5a = -23\).
Following the steps above, the solution leads to \(a = -26\).
Given the choices:
A. 21
B. -31
C. -21
D. 31
None of these options match the solution \(a = -26\). Please verify the original equation or the answer options provided. If we reconsider:
If we went to solve the original properly: \(-4a + 5a + 3 = -23\) gives us: \[ 1a + 3 = -23 \]
Does indeed confirm \(a = -26\).
You can double-check the equation to ensure it's correct, as none of the answer choices correspond to the calculated output.