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Simplifying -13 = -4(-5 + -3v) + 7(v + -2) -13 = (-5 * -4 + -3v * -4) + 7(v + -2) -13 = (20 + 12v) + 7(v + -2) Reorder the terms: -13 = 20 + 12v + 7(-2 + v) -13 = 20 + 12v + (-2 * 7 + v * 7) -13 = 20 + 12v + (-14 + 7v) Reorder the terms: -13 = 20 + -14 + 12v + 7v Combine like terms: 20 + -14 = 6 -13 = 6 + 12v + 7v Combine like terms: 12v + 7v = 19v -13 = 6 + 19v Solving -13 = 6 + 19v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-19v' to each side of the equation. -13 + -19v = 6 + 19v + -19v Combine like terms: 19v + -19v = 0 -13 + -19v = 6 + 0 -13 + -19v = 6 Add '13' to each side of the equation. -13 + 13 + -19v = 6 + 13 Combine like terms: -13 + 13 = 0 0 + -19v = 6 + 13 -19v = 6 + 13 Combine like terms: 6 + 13 = 19 -19v = 19 Divide each side by '-19'. v = -1 Simplifying v = -1
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