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Simplifying 12(2m + 1) = 6(5m + -1) Reorder the terms: 12(1 + 2m) = 6(5m + -1) (1 * 12 + 2m * 12) = 6(5m + -1) (12 + 24m) = 6(5m + -1) Reorder the terms: 12 + 24m = 6(-1 + 5m) 12 + 24m = (-1 * 6 + 5m * 6) 12 + 24m = (-6 + 30m) Solving 12 + 24m = -6 + 30m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30m' to each side of the equation. 12 + 24m + -30m = -6 + 30m + -30m Combine like terms: 24m + -30m = -6m 12 + -6m = -6 + 30m + -30m Combine like terms: 30m + -30m = 0 12 + -6m = -6 + 0 12 + -6m = -6 Add '-12' to each side of the equation. 12 + -12 + -6m = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -6m = -6 + -12 -6m = -6 + -12 Combine like terms: -6 + -12 = -18 -6m = -18 Divide each side by '-6'. m = 3 Simplifying m = 3
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