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Simplifying 12m + 4 + -1(5 + -7m) = 4(4m + 2) 12m + 4 + (5 * -1 + -7m * -1) = 4(4m + 2) 12m + 4 + (-5 + 7m) = 4(4m + 2) Reorder the terms: 4 + -5 + 12m + 7m = 4(4m + 2) Combine like terms: 4 + -5 = -1 -1 + 12m + 7m = 4(4m + 2) Combine like terms: 12m + 7m = 19m -1 + 19m = 4(4m + 2) Reorder the terms: -1 + 19m = 4(2 + 4m) -1 + 19m = (2 * 4 + 4m * 4) -1 + 19m = (8 + 16m) Solving -1 + 19m = 8 + 16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16m' to each side of the equation. -1 + 19m + -16m = 8 + 16m + -16m Combine like terms: 19m + -16m = 3m -1 + 3m = 8 + 16m + -16m Combine like terms: 16m + -16m = 0 -1 + 3m = 8 + 0 -1 + 3m = 8 Add '1' to each side of the equation. -1 + 1 + 3m = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 3m = 8 + 1 3m = 8 + 1 Combine like terms: 8 + 1 = 9 3m = 9 Divide each side by '3'. m = 3 Simplifying m = 3
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