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Simplifying -87 = 7v + -4(8v + 3) Reorder the terms: -87 = 7v + -4(3 + 8v) -87 = 7v + (3 * -4 + 8v * -4) -87 = 7v + (-12 + -32v) Reorder the terms: -87 = -12 + 7v + -32v Combine like terms: 7v + -32v = -25v -87 = -12 + -25v Solving -87 = -12 + -25v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '25v' to each side of the equation. -87 + 25v = -12 + -25v + 25v Combine like terms: -25v + 25v = 0 -87 + 25v = -12 + 0 -87 + 25v = -12 Add '87' to each side of the equation. -87 + 87 + 25v = -12 + 87 Combine like terms: -87 + 87 = 0 0 + 25v = -12 + 87 25v = -12 + 87 Combine like terms: -12 + 87 = 75 25v = 75 Divide each side by '25'. v = 3 Simplifying v = 3
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