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Simplifying 3m + 12 = -1m + -1(m + 13) Reorder the terms: 12 + 3m = -1m + -1(m + 13) Reorder the terms: 12 + 3m = -1m + -1(13 + m) 12 + 3m = -1m + (13 * -1 + m * -1) 12 + 3m = -1m + (-13 + -1m) Reorder the terms: 12 + 3m = -13 + -1m + -1m Combine like terms: -1m + -1m = -2m 12 + 3m = -13 + -2m Solving 12 + 3m = -13 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 12 + 3m + 2m = -13 + -2m + 2m Combine like terms: 3m + 2m = 5m 12 + 5m = -13 + -2m + 2m Combine like terms: -2m + 2m = 0 12 + 5m = -13 + 0 12 + 5m = -13 Add '-12' to each side of the equation. 12 + -12 + 5m = -13 + -12 Combine like terms: 12 + -12 = 0 0 + 5m = -13 + -12 5m = -13 + -12 Combine like terms: -13 + -12 = -25 5m = -25 Divide each side by '5'. m = -5 Simplifying m = -5
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