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Simplifying -5(-8v + -3) + -5 = 6(7v + 2) Reorder the terms: -5(-3 + -8v) + -5 = 6(7v + 2) (-3 * -5 + -8v * -5) + -5 = 6(7v + 2) (15 + 40v) + -5 = 6(7v + 2) Reorder the terms: 15 + -5 + 40v = 6(7v + 2) Combine like terms: 15 + -5 = 10 10 + 40v = 6(7v + 2) Reorder the terms: 10 + 40v = 6(2 + 7v) 10 + 40v = (2 * 6 + 7v * 6) 10 + 40v = (12 + 42v) Solving 10 + 40v = 12 + 42v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-42v' to each side of the equation. 10 + 40v + -42v = 12 + 42v + -42v Combine like terms: 40v + -42v = -2v 10 + -2v = 12 + 42v + -42v Combine like terms: 42v + -42v = 0 10 + -2v = 12 + 0 10 + -2v = 12 Add '-10' to each side of the equation. 10 + -10 + -2v = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -2v = 12 + -10 -2v = 12 + -10 Combine like terms: 12 + -10 = 2 -2v = 2 Divide each side by '-2'. v = -1 Simplifying v = -1
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