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Simplifying 87 + -1(32.25 + -1v) = 8v + 30 87 + (32.25 * -1 + -1v * -1) = 8v + 30 87 + (-32.25 + 1v) = 8v + 30 Combine like terms: 87 + -32.25 = 54.75 54.75 + 1v = 8v + 30 Reorder the terms: 54.75 + 1v = 30 + 8v Solving 54.75 + 1v = 30 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 54.75 + 1v + -8v = 30 + 8v + -8v Combine like terms: 1v + -8v = -7v 54.75 + -7v = 30 + 8v + -8v Combine like terms: 8v + -8v = 0 54.75 + -7v = 30 + 0 54.75 + -7v = 30 Add '-54.75' to each side of the equation. 54.75 + -54.75 + -7v = 30 + -54.75 Combine like terms: 54.75 + -54.75 = 0.00 0.00 + -7v = 30 + -54.75 -7v = 30 + -54.75 Combine like terms: 30 + -54.75 = -24.75 -7v = -24.75 Divide each side by '-7'. v = 3.535714286 Simplifying v = 3.535714286
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