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Simplifying 7 + -1(4m + 2) = 3(2m + 1) Reorder the terms: 7 + -1(2 + 4m) = 3(2m + 1) 7 + (2 * -1 + 4m * -1) = 3(2m + 1) 7 + (-2 + -4m) = 3(2m + 1) Combine like terms: 7 + -2 = 5 5 + -4m = 3(2m + 1) Reorder the terms: 5 + -4m = 3(1 + 2m) 5 + -4m = (1 * 3 + 2m * 3) 5 + -4m = (3 + 6m) Solving 5 + -4m = 3 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 5 + -4m + -6m = 3 + 6m + -6m Combine like terms: -4m + -6m = -10m 5 + -10m = 3 + 6m + -6m Combine like terms: 6m + -6m = 0 5 + -10m = 3 + 0 5 + -10m = 3 Add '-5' to each side of the equation. 5 + -5 + -10m = 3 + -5 Combine like terms: 5 + -5 = 0 0 + -10m = 3 + -5 -10m = 3 + -5 Combine like terms: 3 + -5 = -2 -10m = -2 Divide each side by '-10'. m = 0.2 Simplifying m = 0.2
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