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Simplifying 12m + 8 + -5m + 2 = 6(m + 1) Reorder the terms: 8 + 2 + 12m + -5m = 6(m + 1) Combine like terms: 8 + 2 = 10 10 + 12m + -5m = 6(m + 1) Combine like terms: 12m + -5m = 7m 10 + 7m = 6(m + 1) Reorder the terms: 10 + 7m = 6(1 + m) 10 + 7m = (1 * 6 + m * 6) 10 + 7m = (6 + 6m) Solving 10 + 7m = 6 + 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. 10 + 7m + -6m = 6 + 6m + -6m Combine like terms: 7m + -6m = 1m 10 + 1m = 6 + 6m + -6m Combine like terms: 6m + -6m = 0 10 + 1m = 6 + 0 10 + 1m = 6 Add '-10' to each side of the equation. 10 + -10 + 1m = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 1m = 6 + -10 1m = 6 + -10 Combine like terms: 6 + -10 = -4 1m = -4 Divide each side by '1'. m = -4 Simplifying m = -4
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