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Simplifying 3(-5 + 3v) = 8(-8 + 2v) (-5 * 3 + 3v * 3) = 8(-8 + 2v) (-15 + 9v) = 8(-8 + 2v) -15 + 9v = (-8 * 8 + 2v * 8) -15 + 9v = (-64 + 16v) Solving -15 + 9v = -64 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. -15 + 9v + -16v = -64 + 16v + -16v Combine like terms: 9v + -16v = -7v -15 + -7v = -64 + 16v + -16v Combine like terms: 16v + -16v = 0 -15 + -7v = -64 + 0 -15 + -7v = -64 Add '15' to each side of the equation. -15 + 15 + -7v = -64 + 15 Combine like terms: -15 + 15 = 0 0 + -7v = -64 + 15 -7v = -64 + 15 Combine like terms: -64 + 15 = -49 -7v = -49 Divide each side by '-7'. v = 7 Simplifying v = 7
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