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Simplifying -1v + 6(-7v + -8) = 81 Reorder the terms: -1v + 6(-8 + -7v) = 81 -1v + (-8 * 6 + -7v * 6) = 81 -1v + (-48 + -42v) = 81 Reorder the terms: -48 + -1v + -42v = 81 Combine like terms: -1v + -42v = -43v -48 + -43v = 81 Solving -48 + -43v = 81 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -43v = 81 + 48 Combine like terms: -48 + 48 = 0 0 + -43v = 81 + 48 -43v = 81 + 48 Combine like terms: 81 + 48 = 129 -43v = 129 Divide each side by '-43'. v = -3 Simplifying v = -3
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