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Simplifying -96 = -7v + -5(1 + -4v) -96 = -7v + (1 * -5 + -4v * -5) -96 = -7v + (-5 + 20v) Reorder the terms: -96 = -5 + -7v + 20v Combine like terms: -7v + 20v = 13v -96 = -5 + 13v Solving -96 = -5 + 13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. -96 + -13v = -5 + 13v + -13v Combine like terms: 13v + -13v = 0 -96 + -13v = -5 + 0 -96 + -13v = -5 Add '96' to each side of the equation. -96 + 96 + -13v = -5 + 96 Combine like terms: -96 + 96 = 0 0 + -13v = -5 + 96 -13v = -5 + 96 Combine like terms: -5 + 96 = 91 -13v = 91 Divide each side by '-13'. v = -7 Simplifying v = -7
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