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Simplifying -7(v + -8) = -7(2v + 6) Reorder the terms: -7(-8 + v) = -7(2v + 6) (-8 * -7 + v * -7) = -7(2v + 6) (56 + -7v) = -7(2v + 6) Reorder the terms: 56 + -7v = -7(6 + 2v) 56 + -7v = (6 * -7 + 2v * -7) 56 + -7v = (-42 + -14v) Solving 56 + -7v = -42 + -14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14v' to each side of the equation. 56 + -7v + 14v = -42 + -14v + 14v Combine like terms: -7v + 14v = 7v 56 + 7v = -42 + -14v + 14v Combine like terms: -14v + 14v = 0 56 + 7v = -42 + 0 56 + 7v = -42 Add '-56' to each side of the equation. 56 + -56 + 7v = -42 + -56 Combine like terms: 56 + -56 = 0 0 + 7v = -42 + -56 7v = -42 + -56 Combine like terms: -42 + -56 = -98 7v = -98 Divide each side by '7'. v = -14 Simplifying v = -14
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