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Simplifying 2(v + -9) + -2 = -4(-5v + 9) + -8v Reorder the terms: 2(-9 + v) + -2 = -4(-5v + 9) + -8v (-9 * 2 + v * 2) + -2 = -4(-5v + 9) + -8v (-18 + 2v) + -2 = -4(-5v + 9) + -8v Reorder the terms: -18 + -2 + 2v = -4(-5v + 9) + -8v Combine like terms: -18 + -2 = -20 -20 + 2v = -4(-5v + 9) + -8v Reorder the terms: -20 + 2v = -4(9 + -5v) + -8v -20 + 2v = (9 * -4 + -5v * -4) + -8v -20 + 2v = (-36 + 20v) + -8v Combine like terms: 20v + -8v = 12v -20 + 2v = -36 + 12v Solving -20 + 2v = -36 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. -20 + 2v + -12v = -36 + 12v + -12v Combine like terms: 2v + -12v = -10v -20 + -10v = -36 + 12v + -12v Combine like terms: 12v + -12v = 0 -20 + -10v = -36 + 0 -20 + -10v = -36 Add '20' to each side of the equation. -20 + 20 + -10v = -36 + 20 Combine like terms: -20 + 20 = 0 0 + -10v = -36 + 20 -10v = -36 + 20 Combine like terms: -36 + 20 = -16 -10v = -16 Divide each side by '-10'. v = 1.6 Simplifying v = 1.6
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