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Simplifying 2(v + -8) = -6(-4v + 7) + -7v Reorder the terms: 2(-8 + v) = -6(-4v + 7) + -7v (-8 * 2 + v * 2) = -6(-4v + 7) + -7v (-16 + 2v) = -6(-4v + 7) + -7v Reorder the terms: -16 + 2v = -6(7 + -4v) + -7v -16 + 2v = (7 * -6 + -4v * -6) + -7v -16 + 2v = (-42 + 24v) + -7v Combine like terms: 24v + -7v = 17v -16 + 2v = -42 + 17v Solving -16 + 2v = -42 + 17v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-17v' to each side of the equation. -16 + 2v + -17v = -42 + 17v + -17v Combine like terms: 2v + -17v = -15v -16 + -15v = -42 + 17v + -17v Combine like terms: 17v + -17v = 0 -16 + -15v = -42 + 0 -16 + -15v = -42 Add '16' to each side of the equation. -16 + 16 + -15v = -42 + 16 Combine like terms: -16 + 16 = 0 0 + -15v = -42 + 16 -15v = -42 + 16 Combine like terms: -42 + 16 = -26 -15v = -26 Divide each side by '-15'. v = 1.733333333 Simplifying v = 1.733333333
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