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Simplifying -6(8 + 2m) = -3(4 + m) (8 * -6 + 2m * -6) = -3(4 + m) (-48 + -12m) = -3(4 + m) -48 + -12m = (4 * -3 + m * -3) -48 + -12m = (-12 + -3m) Solving -48 + -12m = -12 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. -48 + -12m + 3m = -12 + -3m + 3m Combine like terms: -12m + 3m = -9m -48 + -9m = -12 + -3m + 3m Combine like terms: -3m + 3m = 0 -48 + -9m = -12 + 0 -48 + -9m = -12 Add '48' to each side of the equation. -48 + 48 + -9m = -12 + 48 Combine like terms: -48 + 48 = 0 0 + -9m = -12 + 48 -9m = -12 + 48 Combine like terms: -12 + 48 = 36 -9m = 36 Divide each side by '-9'. m = -4 Simplifying m = -4
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