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