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Simplifying -4 + 7(10v + 12) = -5(-2 + -7v) Reorder the terms: -4 + 7(12 + 10v) = -5(-2 + -7v) -4 + (12 * 7 + 10v * 7) = -5(-2 + -7v) -4 + (84 + 70v) = -5(-2 + -7v) Combine like terms: -4 + 84 = 80 80 + 70v = -5(-2 + -7v) 80 + 70v = (-2 * -5 + -7v * -5) 80 + 70v = (10 + 35v) Solving 80 + 70v = 10 + 35v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-35v' to each side of the equation. 80 + 70v + -35v = 10 + 35v + -35v Combine like terms: 70v + -35v = 35v 80 + 35v = 10 + 35v + -35v Combine like terms: 35v + -35v = 0 80 + 35v = 10 + 0 80 + 35v = 10 Add '-80' to each side of the equation. 80 + -80 + 35v = 10 + -80 Combine like terms: 80 + -80 = 0 0 + 35v = 10 + -80 35v = 10 + -80 Combine like terms: 10 + -80 = -70 35v = -70 Divide each side by '35'. v = -2 Simplifying v = -2
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