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Simplifying -6(3v + -4) = -36 + -8v Reorder the terms: -6(-4 + 3v) = -36 + -8v (-4 * -6 + 3v * -6) = -36 + -8v (24 + -18v) = -36 + -8v Solving 24 + -18v = -36 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 24 + -18v + 8v = -36 + -8v + 8v Combine like terms: -18v + 8v = -10v 24 + -10v = -36 + -8v + 8v Combine like terms: -8v + 8v = 0 24 + -10v = -36 + 0 24 + -10v = -36 Add '-24' to each side of the equation. 24 + -24 + -10v = -36 + -24 Combine like terms: 24 + -24 = 0 0 + -10v = -36 + -24 -10v = -36 + -24 Combine like terms: -36 + -24 = -60 -10v = -60 Divide each side by '-10'. v = 6 Simplifying v = 6
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