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Simplifying -3(-12 + 12m) = 6(-11 + -5m) (-12 * -3 + 12m * -3) = 6(-11 + -5m) (36 + -36m) = 6(-11 + -5m) 36 + -36m = (-11 * 6 + -5m * 6) 36 + -36m = (-66 + -30m) Solving 36 + -36m = -66 + -30m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '30m' to each side of the equation. 36 + -36m + 30m = -66 + -30m + 30m Combine like terms: -36m + 30m = -6m 36 + -6m = -66 + -30m + 30m Combine like terms: -30m + 30m = 0 36 + -6m = -66 + 0 36 + -6m = -66 Add '-36' to each side of the equation. 36 + -36 + -6m = -66 + -36 Combine like terms: 36 + -36 = 0 0 + -6m = -66 + -36 -6m = -66 + -36 Combine like terms: -66 + -36 = -102 -6m = -102 Divide each side by '-6'. m = 17 Simplifying m = 17
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