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Simplifying -6(m + 8) = -6(m + -3) + -6m Reorder the terms: -6(8 + m) = -6(m + -3) + -6m (8 * -6 + m * -6) = -6(m + -3) + -6m (-48 + -6m) = -6(m + -3) + -6m Reorder the terms: -48 + -6m = -6(-3 + m) + -6m -48 + -6m = (-3 * -6 + m * -6) + -6m -48 + -6m = (18 + -6m) + -6m Combine like terms: -6m + -6m = -12m -48 + -6m = 18 + -12m Solving -48 + -6m = 18 + -12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12m' to each side of the equation. -48 + -6m + 12m = 18 + -12m + 12m Combine like terms: -6m + 12m = 6m -48 + 6m = 18 + -12m + 12m Combine like terms: -12m + 12m = 0 -48 + 6m = 18 + 0 -48 + 6m = 18 Add '48' to each side of the equation. -48 + 48 + 6m = 18 + 48 Combine like terms: -48 + 48 = 0 0 + 6m = 18 + 48 6m = 18 + 48 Combine like terms: 18 + 48 = 66 6m = 66 Divide each side by '6'. m = 11 Simplifying m = 11
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