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Simplifying 3(4m + 6) + -5(2m + -4) = 6(3m + 5) + -2(3m + -11) Reorder the terms: 3(6 + 4m) + -5(2m + -4) = 6(3m + 5) + -2(3m + -11) (6 * 3 + 4m * 3) + -5(2m + -4) = 6(3m + 5) + -2(3m + -11) (18 + 12m) + -5(2m + -4) = 6(3m + 5) + -2(3m + -11) Reorder the terms: 18 + 12m + -5(-4 + 2m) = 6(3m + 5) + -2(3m + -11) 18 + 12m + (-4 * -5 + 2m * -5) = 6(3m + 5) + -2(3m + -11) 18 + 12m + (20 + -10m) = 6(3m + 5) + -2(3m + -11) Reorder the terms: 18 + 20 + 12m + -10m = 6(3m + 5) + -2(3m + -11) Combine like terms: 18 + 20 = 38 38 + 12m + -10m = 6(3m + 5) + -2(3m + -11) Combine like terms: 12m + -10m = 2m 38 + 2m = 6(3m + 5) + -2(3m + -11) Reorder the terms: 38 + 2m = 6(5 + 3m) + -2(3m + -11) 38 + 2m = (5 * 6 + 3m * 6) + -2(3m + -11) 38 + 2m = (30 + 18m) + -2(3m + -11) Reorder the terms: 38 + 2m = 30 + 18m + -2(-11 + 3m) 38 + 2m = 30 + 18m + (-11 * -2 + 3m * -2) 38 + 2m = 30 + 18m + (22 + -6m) Reorder the terms: 38 + 2m = 30 + 22 + 18m + -6m Combine like terms: 30 + 22 = 52 38 + 2m = 52 + 18m + -6m Combine like terms: 18m + -6m = 12m 38 + 2m = 52 + 12m Solving 38 + 2m = 52 + 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. 38 + 2m + -12m = 52 + 12m + -12m Combine like terms: 2m + -12m = -10m 38 + -10m = 52 + 12m + -12m Combine like terms: 12m + -12m = 0 38 + -10m = 52 + 0 38 + -10m = 52 Add '-38' to each side of the equation. 38 + -38 + -10m = 52 + -38 Combine like terms: 38 + -38 = 0 0 + -10m = 52 + -38 -10m = 52 + -38 Combine like terms: 52 + -38 = 14 -10m = 14 Divide each side by '-10'. m = -1.4 Simplifying m = -1.4
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