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Simplifying 8m + 2 + 4 = 2(6m + 1) Reorder the terms: 2 + 4 + 8m = 2(6m + 1) Combine like terms: 2 + 4 = 6 6 + 8m = 2(6m + 1) Reorder the terms: 6 + 8m = 2(1 + 6m) 6 + 8m = (1 * 2 + 6m * 2) 6 + 8m = (2 + 12m) Solving 6 + 8m = 2 + 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. 6 + 8m + -12m = 2 + 12m + -12m Combine like terms: 8m + -12m = -4m 6 + -4m = 2 + 12m + -12m Combine like terms: 12m + -12m = 0 6 + -4m = 2 + 0 6 + -4m = 2 Add '-6' to each side of the equation. 6 + -6 + -4m = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -4m = 2 + -6 -4m = 2 + -6 Combine like terms: 2 + -6 = -4 -4m = -4 Divide each side by '-4'. m = 1 Simplifying m = 1
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