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Simplifying v + 7 + -2(-4v + -3) = 5(v + -1) Reorder the terms: v + 7 + -2(-3 + -4v) = 5(v + -1) v + 7 + (-3 * -2 + -4v * -2) = 5(v + -1) v + 7 + (6 + 8v) = 5(v + -1) Reorder the terms: 7 + 6 + v + 8v = 5(v + -1) Combine like terms: 7 + 6 = 13 13 + v + 8v = 5(v + -1) Combine like terms: v + 8v = 9v 13 + 9v = 5(v + -1) Reorder the terms: 13 + 9v = 5(-1 + v) 13 + 9v = (-1 * 5 + v * 5) 13 + 9v = (-5 + 5v) Solving 13 + 9v = -5 + 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. 13 + 9v + -5v = -5 + 5v + -5v Combine like terms: 9v + -5v = 4v 13 + 4v = -5 + 5v + -5v Combine like terms: 5v + -5v = 0 13 + 4v = -5 + 0 13 + 4v = -5 Add '-13' to each side of the equation. 13 + -13 + 4v = -5 + -13 Combine like terms: 13 + -13 = 0 0 + 4v = -5 + -13 4v = -5 + -13 Combine like terms: -5 + -13 = -18 4v = -18 Divide each side by '4'. v = -4.5 Simplifying v = -4.5
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