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Simplifying 8m + 6 + -4m + 1 + m = 3(m + 1) Reorder the terms: 6 + 1 + 8m + -4m + m = 3(m + 1) Combine like terms: 6 + 1 = 7 7 + 8m + -4m + m = 3(m + 1) Combine like terms: 8m + -4m = 4m 7 + 4m + m = 3(m + 1) Combine like terms: 4m + m = 5m 7 + 5m = 3(m + 1) Reorder the terms: 7 + 5m = 3(1 + m) 7 + 5m = (1 * 3 + m * 3) 7 + 5m = (3 + 3m) Solving 7 + 5m = 3 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 7 + 5m + -3m = 3 + 3m + -3m Combine like terms: 5m + -3m = 2m 7 + 2m = 3 + 3m + -3m Combine like terms: 3m + -3m = 0 7 + 2m = 3 + 0 7 + 2m = 3 Add '-7' to each side of the equation. 7 + -7 + 2m = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 2m = 3 + -7 2m = 3 + -7 Combine like terms: 3 + -7 = -4 2m = -4 Divide each side by '2'. m = -2 Simplifying m = -2
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