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Simplifying -6(m + -3) = 12m + -90 Reorder the terms: -6(-3 + m) = 12m + -90 (-3 * -6 + m * -6) = 12m + -90 (18 + -6m) = 12m + -90 Reorder the terms: 18 + -6m = -90 + 12m Solving 18 + -6m = -90 + 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. 18 + -6m + -12m = -90 + 12m + -12m Combine like terms: -6m + -12m = -18m 18 + -18m = -90 + 12m + -12m Combine like terms: 12m + -12m = 0 18 + -18m = -90 + 0 18 + -18m = -90 Add '-18' to each side of the equation. 18 + -18 + -18m = -90 + -18 Combine like terms: 18 + -18 = 0 0 + -18m = -90 + -18 -18m = -90 + -18 Combine like terms: -90 + -18 = -108 -18m = -108 Divide each side by '-18'. m = 6 Simplifying m = 6
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