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Simplifying 2(4m) = 1 + (3 + -2m) + -4m + (2m + 7) + 4(2m + 12 + -6m) Remove parenthesis around (4m) 2 * 4m = 1 + (3 + -2m) + -4m + (2m + 7) + 4(2m + 12 + -6m) Multiply 2 * 4 8m = 1 + (3 + -2m) + -4m + (2m + 7) + 4(2m + 12 + -6m) Remove parenthesis around (3 + -2m) 8m = 1 + 3 + -2m + -4m + (2m + 7) + 4(2m + 12 + -6m) Reorder the terms: 8m = 1 + 3 + -2m + -4m + (7 + 2m) + 4(2m + 12 + -6m) Remove parenthesis around (7 + 2m) 8m = 1 + 3 + -2m + -4m + 7 + 2m + 4(2m + 12 + -6m) Reorder the terms: 8m = 1 + 3 + -2m + -4m + 7 + 2m + 4(12 + 2m + -6m) Combine like terms: 2m + -6m = -4m 8m = 1 + 3 + -2m + -4m + 7 + 2m + 4(12 + -4m) 8m = 1 + 3 + -2m + -4m + 7 + 2m + (12 * 4 + -4m * 4) 8m = 1 + 3 + -2m + -4m + 7 + 2m + (48 + -16m) Reorder the terms: 8m = 1 + 3 + 7 + 48 + -2m + -4m + 2m + -16m Combine like terms: 1 + 3 = 4 8m = 4 + 7 + 48 + -2m + -4m + 2m + -16m Combine like terms: 4 + 7 = 11 8m = 11 + 48 + -2m + -4m + 2m + -16m Combine like terms: 11 + 48 = 59 8m = 59 + -2m + -4m + 2m + -16m Combine like terms: -2m + -4m = -6m 8m = 59 + -6m + 2m + -16m Combine like terms: -6m + 2m = -4m 8m = 59 + -4m + -16m Combine like terms: -4m + -16m = -20m 8m = 59 + -20m Solving 8m = 59 + -20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '20m' to each side of the equation. 8m + 20m = 59 + -20m + 20m Combine like terms: 8m + 20m = 28m 28m = 59 + -20m + 20m Combine like terms: -20m + 20m = 0 28m = 59 + 0 28m = 59 Divide each side by '28'. m = 2.107142857 Simplifying m = 2.107142857
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