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Simplifying 4(v + -3) + -6v = -24 Reorder the terms: 4(-3 + v) + -6v = -24 (-3 * 4 + v * 4) + -6v = -24 (-12 + 4v) + -6v = -24 Combine like terms: 4v + -6v = -2v -12 + -2v = -24 Solving -12 + -2v = -24 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -2v = -24 + 12 Combine like terms: -12 + 12 = 0 0 + -2v = -24 + 12 -2v = -24 + 12 Combine like terms: -24 + 12 = -12 -2v = -12 Divide each side by '-2'. v = 6 Simplifying v = 6
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