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Simplifying 2(v + -2) + -6 = -4(-6v + 7) + -7v Reorder the terms: 2(-2 + v) + -6 = -4(-6v + 7) + -7v (-2 * 2 + v * 2) + -6 = -4(-6v + 7) + -7v (-4 + 2v) + -6 = -4(-6v + 7) + -7v Reorder the terms: -4 + -6 + 2v = -4(-6v + 7) + -7v Combine like terms: -4 + -6 = -10 -10 + 2v = -4(-6v + 7) + -7v Reorder the terms: -10 + 2v = -4(7 + -6v) + -7v -10 + 2v = (7 * -4 + -6v * -4) + -7v -10 + 2v = (-28 + 24v) + -7v Combine like terms: 24v + -7v = 17v -10 + 2v = -28 + 17v Solving -10 + 2v = -28 + 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. -10 + 2v + -17v = -28 + 17v + -17v Combine like terms: 2v + -17v = -15v -10 + -15v = -28 + 17v + -17v Combine like terms: 17v + -17v = 0 -10 + -15v = -28 + 0 -10 + -15v = -28 Add '10' to each side of the equation. -10 + 10 + -15v = -28 + 10 Combine like terms: -10 + 10 = 0 0 + -15v = -28 + 10 -15v = -28 + 10 Combine like terms: -28 + 10 = -18 -15v = -18 Divide each side by '-15'. v = 1.2 Simplifying v = 1.2
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