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Simplifying 2m(3m + 8) + -12 = 3m(2m + 4) Reorder the terms: 2m(8 + 3m) + -12 = 3m(2m + 4) (8 * 2m + 3m * 2m) + -12 = 3m(2m + 4) (16m + 6m2) + -12 = 3m(2m + 4) Reorder the terms: -12 + 16m + 6m2 = 3m(2m + 4) Reorder the terms: -12 + 16m + 6m2 = 3m(4 + 2m) -12 + 16m + 6m2 = (4 * 3m + 2m * 3m) -12 + 16m + 6m2 = (12m + 6m2) Add '-6m2' to each side of the equation. -12 + 16m + 6m2 + -6m2 = 12m + 6m2 + -6m2 Combine like terms: 6m2 + -6m2 = 0 -12 + 16m + 0 = 12m + 6m2 + -6m2 -12 + 16m = 12m + 6m2 + -6m2 Combine like terms: 6m2 + -6m2 = 0 -12 + 16m = 12m + 0 -12 + 16m = 12m Solving -12 + 16m = 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. -12 + 16m + -12m = 12m + -12m Combine like terms: 16m + -12m = 4m -12 + 4m = 12m + -12m Combine like terms: 12m + -12m = 0 -12 + 4m = 0 Add '12' to each side of the equation. -12 + 12 + 4m = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 4m = 0 + 12 4m = 0 + 12 Combine like terms: 0 + 12 = 12 4m = 12 Divide each side by '4'. m = 3 Simplifying m = 3
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