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Simplifying 3(v + -8) + -2 = -3(-5v + 4) + -2v Reorder the terms: 3(-8 + v) + -2 = -3(-5v + 4) + -2v (-8 * 3 + v * 3) + -2 = -3(-5v + 4) + -2v (-24 + 3v) + -2 = -3(-5v + 4) + -2v Reorder the terms: -24 + -2 + 3v = -3(-5v + 4) + -2v Combine like terms: -24 + -2 = -26 -26 + 3v = -3(-5v + 4) + -2v Reorder the terms: -26 + 3v = -3(4 + -5v) + -2v -26 + 3v = (4 * -3 + -5v * -3) + -2v -26 + 3v = (-12 + 15v) + -2v Combine like terms: 15v + -2v = 13v -26 + 3v = -12 + 13v Solving -26 + 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. -26 + 3v + -13v = -12 + 13v + -13v Combine like terms: 3v + -13v = -10v -26 + -10v = -12 + 13v + -13v Combine like terms: 13v + -13v = 0 -26 + -10v = -12 + 0 -26 + -10v = -12 Add '26' to each side of the equation. -26 + 26 + -10v = -12 + 26 Combine like terms: -26 + 26 = 0 0 + -10v = -12 + 26 -10v = -12 + 26 Combine like terms: -12 + 26 = 14 -10v = 14 Divide each side by '-10'. v = -1.4 Simplifying v = -1.4
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