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Simplifying 7 + 6m = -5m + 2(m + -1) Reorder the terms: 7 + 6m = -5m + 2(-1 + m) 7 + 6m = -5m + (-1 * 2 + m * 2) 7 + 6m = -5m + (-2 + 2m) Reorder the terms: 7 + 6m = -2 + -5m + 2m Combine like terms: -5m + 2m = -3m 7 + 6m = -2 + -3m Solving 7 + 6m = -2 + -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 + 6m + 3m = -2 + -3m + 3m Combine like terms: 6m + 3m = 9m 7 + 9m = -2 + -3m + 3m Combine like terms: -3m + 3m = 0 7 + 9m = -2 + 0 7 + 9m = -2 Add '-7' to each side of the equation. 7 + -7 + 9m = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 9m = -2 + -7 9m = -2 + -7 Combine like terms: -2 + -7 = -9 9m = -9 Divide each side by '9'. m = -1 Simplifying m = -1
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