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Simplifying -5(-4v + 9) + -4 = 7(v + -5) + -7 Reorder the terms: -5(9 + -4v) + -4 = 7(v + -5) + -7 (9 * -5 + -4v * -5) + -4 = 7(v + -5) + -7 (-45 + 20v) + -4 = 7(v + -5) + -7 Reorder the terms: -45 + -4 + 20v = 7(v + -5) + -7 Combine like terms: -45 + -4 = -49 -49 + 20v = 7(v + -5) + -7 Reorder the terms: -49 + 20v = 7(-5 + v) + -7 -49 + 20v = (-5 * 7 + v * 7) + -7 -49 + 20v = (-35 + 7v) + -7 Reorder the terms: -49 + 20v = -35 + -7 + 7v Combine like terms: -35 + -7 = -42 -49 + 20v = -42 + 7v Solving -49 + 20v = -42 + 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. -49 + 20v + -7v = -42 + 7v + -7v Combine like terms: 20v + -7v = 13v -49 + 13v = -42 + 7v + -7v Combine like terms: 7v + -7v = 0 -49 + 13v = -42 + 0 -49 + 13v = -42 Add '49' to each side of the equation. -49 + 49 + 13v = -42 + 49 Combine like terms: -49 + 49 = 0 0 + 13v = -42 + 49 13v = -42 + 49 Combine like terms: -42 + 49 = 7 13v = 7 Divide each side by '13'. v = 0.5384615385 Simplifying v = 0.5384615385
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