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Simplifying 3(v + -5) = 2(v + -5) Reorder the terms: 3(-5 + v) = 2(v + -5) (-5 * 3 + v * 3) = 2(v + -5) (-15 + 3v) = 2(v + -5) Reorder the terms: -15 + 3v = 2(-5 + v) -15 + 3v = (-5 * 2 + v * 2) -15 + 3v = (-10 + 2v) Solving -15 + 3v = -10 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -15 + 3v + -2v = -10 + 2v + -2v Combine like terms: 3v + -2v = 1v -15 + 1v = -10 + 2v + -2v Combine like terms: 2v + -2v = 0 -15 + 1v = -10 + 0 -15 + 1v = -10 Add '15' to each side of the equation. -15 + 15 + 1v = -10 + 15 Combine like terms: -15 + 15 = 0 0 + 1v = -10 + 15 1v = -10 + 15 Combine like terms: -10 + 15 = 5 1v = 5 Divide each side by '1'. v = 5 Simplifying v = 5
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