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Simplifying -7(-8 + v) + 5 = 117 (-8 * -7 + v * -7) + 5 = 117 (56 + -7v) + 5 = 117 Reorder the terms: 56 + 5 + -7v = 117 Combine like terms: 56 + 5 = 61 61 + -7v = 117 Solving 61 + -7v = 117 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -61 + -7v = 117 + -61 Combine like terms: 61 + -61 = 0 0 + -7v = 117 + -61 -7v = 117 + -61 Combine like terms: 117 + -61 = 56 -7v = 56 Divide each side by '-7'. v = -8 Simplifying v = -8
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