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Simplifying -7(v + -2) = 8(v + -2) Reorder the terms: -7(-2 + v) = 8(v + -2) (-2 * -7 + v * -7) = 8(v + -2) (14 + -7v) = 8(v + -2) Reorder the terms: 14 + -7v = 8(-2 + v) 14 + -7v = (-2 * 8 + v * 8) 14 + -7v = (-16 + 8v) Solving 14 + -7v = -16 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 14 + -7v + -8v = -16 + 8v + -8v Combine like terms: -7v + -8v = -15v 14 + -15v = -16 + 8v + -8v Combine like terms: 8v + -8v = 0 14 + -15v = -16 + 0 14 + -15v = -16 Add '-14' to each side of the equation. 14 + -14 + -15v = -16 + -14 Combine like terms: 14 + -14 = 0 0 + -15v = -16 + -14 -15v = -16 + -14 Combine like terms: -16 + -14 = -30 -15v = -30 Divide each side by '-15'. v = 2 Simplifying v = 2
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