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Simplifying 3(v + -6) + -2 = -2(-5v + 1) + -3v Reorder the terms: 3(-6 + v) + -2 = -2(-5v + 1) + -3v (-6 * 3 + v * 3) + -2 = -2(-5v + 1) + -3v (-18 + 3v) + -2 = -2(-5v + 1) + -3v Reorder the terms: -18 + -2 + 3v = -2(-5v + 1) + -3v Combine like terms: -18 + -2 = -20 -20 + 3v = -2(-5v + 1) + -3v Reorder the terms: -20 + 3v = -2(1 + -5v) + -3v -20 + 3v = (1 * -2 + -5v * -2) + -3v -20 + 3v = (-2 + 10v) + -3v Combine like terms: 10v + -3v = 7v -20 + 3v = -2 + 7v Solving -20 + 3v = -2 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -20 + 3v + -7v = -2 + 7v + -7v Combine like terms: 3v + -7v = -4v -20 + -4v = -2 + 7v + -7v Combine like terms: 7v + -7v = 0 -20 + -4v = -2 + 0 -20 + -4v = -2 Add '20' to each side of the equation. -20 + 20 + -4v = -2 + 20 Combine like terms: -20 + 20 = 0 0 + -4v = -2 + 20 -4v = -2 + 20 Combine like terms: -2 + 20 = 18 -4v = 18 Divide each side by '-4'. v = -4.5 Simplifying v = -4.5
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