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Simplifying -87 = -3(5v + 4) Reorder the terms: -87 = -3(4 + 5v) -87 = (4 * -3 + 5v * -3) -87 = (-12 + -15v) Solving -87 = -12 + -15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15v' to each side of the equation. -87 + 15v = -12 + -15v + 15v Combine like terms: -15v + 15v = 0 -87 + 15v = -12 + 0 -87 + 15v = -12 Add '87' to each side of the equation. -87 + 87 + 15v = -12 + 87 Combine like terms: -87 + 87 = 0 0 + 15v = -12 + 87 15v = -12 + 87 Combine like terms: -12 + 87 = 75 15v = 75 Divide each side by '15'. v = 5 Simplifying v = 5
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