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Simplifying -7(v + -8) = 8v + -4 Reorder the terms: -7(-8 + v) = 8v + -4 (-8 * -7 + v * -7) = 8v + -4 (56 + -7v) = 8v + -4 Reorder the terms: 56 + -7v = -4 + 8v Solving 56 + -7v = -4 + 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. 56 + -7v + -8v = -4 + 8v + -8v Combine like terms: -7v + -8v = -15v 56 + -15v = -4 + 8v + -8v Combine like terms: 8v + -8v = 0 56 + -15v = -4 + 0 56 + -15v = -4 Add '-56' to each side of the equation. 56 + -56 + -15v = -4 + -56 Combine like terms: 56 + -56 = 0 0 + -15v = -4 + -56 -15v = -4 + -56 Combine like terms: -4 + -56 = -60 -15v = -60 Divide each side by '-15'. v = 4 Simplifying v = 4
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