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Simplifying -8v + -8 = 7(v + 1) Reorder the terms: -8 + -8v = 7(v + 1) Reorder the terms: -8 + -8v = 7(1 + v) -8 + -8v = (1 * 7 + v * 7) -8 + -8v = (7 + 7v) Solving -8 + -8v = 7 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -8 + -8v + -7v = 7 + 7v + -7v Combine like terms: -8v + -7v = -15v -8 + -15v = 7 + 7v + -7v Combine like terms: 7v + -7v = 0 -8 + -15v = 7 + 0 -8 + -15v = 7 Add '8' to each side of the equation. -8 + 8 + -15v = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -15v = 7 + 8 -15v = 7 + 8 Combine like terms: 7 + 8 = 15 -15v = 15 Divide each side by '-15'. v = -1 Simplifying v = -1
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