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Simplifying 3(v + -3) + -8 = -2(-8v + 1) + -1v Reorder the terms: 3(-3 + v) + -8 = -2(-8v + 1) + -1v (-3 * 3 + v * 3) + -8 = -2(-8v + 1) + -1v (-9 + 3v) + -8 = -2(-8v + 1) + -1v Reorder the terms: -9 + -8 + 3v = -2(-8v + 1) + -1v Combine like terms: -9 + -8 = -17 -17 + 3v = -2(-8v + 1) + -1v Reorder the terms: -17 + 3v = -2(1 + -8v) + -1v -17 + 3v = (1 * -2 + -8v * -2) + -1v -17 + 3v = (-2 + 16v) + -1v Combine like terms: 16v + -1v = 15v -17 + 3v = -2 + 15v Solving -17 + 3v = -2 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. -17 + 3v + -15v = -2 + 15v + -15v Combine like terms: 3v + -15v = -12v -17 + -12v = -2 + 15v + -15v Combine like terms: 15v + -15v = 0 -17 + -12v = -2 + 0 -17 + -12v = -2 Add '17' to each side of the equation. -17 + 17 + -12v = -2 + 17 Combine like terms: -17 + 17 = 0 0 + -12v = -2 + 17 -12v = -2 + 17 Combine like terms: -2 + 17 = 15 -12v = 15 Divide each side by '-12'. v = -1.25 Simplifying v = -1.25
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