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Simplifying 8 = -2v + 7(v + -6) Reorder the terms: 8 = -2v + 7(-6 + v) 8 = -2v + (-6 * 7 + v * 7) 8 = -2v + (-42 + 7v) Reorder the terms: 8 = -42 + -2v + 7v Combine like terms: -2v + 7v = 5v 8 = -42 + 5v Solving 8 = -42 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 8 + -5v = -42 + 5v + -5v Combine like terms: 5v + -5v = 0 8 + -5v = -42 + 0 8 + -5v = -42 Add '-8' to each side of the equation. 8 + -8 + -5v = -42 + -8 Combine like terms: 8 + -8 = 0 0 + -5v = -42 + -8 -5v = -42 + -8 Combine like terms: -42 + -8 = -50 -5v = -50 Divide each side by '-5'. v = 10 Simplifying v = 10
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