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