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Simplifying -4v + 2(4v + 5) = 7(v + -5) Reorder the terms: -4v + 2(5 + 4v) = 7(v + -5) -4v + (5 * 2 + 4v * 2) = 7(v + -5) -4v + (10 + 8v) = 7(v + -5) Reorder the terms: 10 + -4v + 8v = 7(v + -5) Combine like terms: -4v + 8v = 4v 10 + 4v = 7(v + -5) Reorder the terms: 10 + 4v = 7(-5 + v) 10 + 4v = (-5 * 7 + v * 7) 10 + 4v = (-35 + 7v) Solving 10 + 4v = -35 + 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. 10 + 4v + -7v = -35 + 7v + -7v Combine like terms: 4v + -7v = -3v 10 + -3v = -35 + 7v + -7v Combine like terms: 7v + -7v = 0 10 + -3v = -35 + 0 10 + -3v = -35 Add '-10' to each side of the equation. 10 + -10 + -3v = -35 + -10 Combine like terms: 10 + -10 = 0 0 + -3v = -35 + -10 -3v = -35 + -10 Combine like terms: -35 + -10 = -45 -3v = -45 Divide each side by '-3'. v = 15 Simplifying v = 15
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