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Simplifying 2(v + -6) = 7v + 1 + -5(-2v + -1) Reorder the terms: 2(-6 + v) = 7v + 1 + -5(-2v + -1) (-6 * 2 + v * 2) = 7v + 1 + -5(-2v + -1) (-12 + 2v) = 7v + 1 + -5(-2v + -1) Reorder the terms: -12 + 2v = 7v + 1 + -5(-1 + -2v) -12 + 2v = 7v + 1 + (-1 * -5 + -2v * -5) -12 + 2v = 7v + 1 + (5 + 10v) Reorder the terms: -12 + 2v = 1 + 5 + 7v + 10v Combine like terms: 1 + 5 = 6 -12 + 2v = 6 + 7v + 10v Combine like terms: 7v + 10v = 17v -12 + 2v = 6 + 17v Solving -12 + 2v = 6 + 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. -12 + 2v + -17v = 6 + 17v + -17v Combine like terms: 2v + -17v = -15v -12 + -15v = 6 + 17v + -17v Combine like terms: 17v + -17v = 0 -12 + -15v = 6 + 0 -12 + -15v = 6 Add '12' to each side of the equation. -12 + 12 + -15v = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -15v = 6 + 12 -15v = 6 + 12 Combine like terms: 6 + 12 = 18 -15v = 18 Divide each side by '-15'. v = -1.2 Simplifying v = -1.2
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