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Simplifying 3(v + -6) + -2 = -4(-4v + 3) + -3v Reorder the terms: 3(-6 + v) + -2 = -4(-4v + 3) + -3v (-6 * 3 + v * 3) + -2 = -4(-4v + 3) + -3v (-18 + 3v) + -2 = -4(-4v + 3) + -3v Reorder the terms: -18 + -2 + 3v = -4(-4v + 3) + -3v Combine like terms: -18 + -2 = -20 -20 + 3v = -4(-4v + 3) + -3v Reorder the terms: -20 + 3v = -4(3 + -4v) + -3v -20 + 3v = (3 * -4 + -4v * -4) + -3v -20 + 3v = (-12 + 16v) + -3v Combine like terms: 16v + -3v = 13v -20 + 3v = -12 + 13v Solving -20 + 3v = -12 + 13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. -20 + 3v + -13v = -12 + 13v + -13v Combine like terms: 3v + -13v = -10v -20 + -10v = -12 + 13v + -13v Combine like terms: 13v + -13v = 0 -20 + -10v = -12 + 0 -20 + -10v = -12 Add '20' to each side of the equation. -20 + 20 + -10v = -12 + 20 Combine like terms: -20 + 20 = 0 0 + -10v = -12 + 20 -10v = -12 + 20 Combine like terms: -12 + 20 = 8 -10v = 8 Divide each side by '-10'. v = -0.8 Simplifying v = -0.8
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