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Simplifying 3(v + -5) + -6v = -24 Reorder the terms: 3(-5 + v) + -6v = -24 (-5 * 3 + v * 3) + -6v = -24 (-15 + 3v) + -6v = -24 Combine like terms: 3v + -6v = -3v -15 + -3v = -24 Solving -15 + -3v = -24 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -3v = -24 + 15 Combine like terms: -15 + 15 = 0 0 + -3v = -24 + 15 -3v = -24 + 15 Combine like terms: -24 + 15 = -9 -3v = -9 Divide each side by '-3'. v = 3 Simplifying v = 3
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