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Simplifying 5(m + 2) + 3 = 3m + -1 Reorder the terms: 5(2 + m) + 3 = 3m + -1 (2 * 5 + m * 5) + 3 = 3m + -1 (10 + 5m) + 3 = 3m + -1 Reorder the terms: 10 + 3 + 5m = 3m + -1 Combine like terms: 10 + 3 = 13 13 + 5m = 3m + -1 Reorder the terms: 13 + 5m = -1 + 3m Solving 13 + 5m = -1 + 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. 13 + 5m + -3m = -1 + 3m + -3m Combine like terms: 5m + -3m = 2m 13 + 2m = -1 + 3m + -3m Combine like terms: 3m + -3m = 0 13 + 2m = -1 + 0 13 + 2m = -1 Add '-13' to each side of the equation. 13 + -13 + 2m = -1 + -13 Combine like terms: 13 + -13 = 0 0 + 2m = -1 + -13 2m = -1 + -13 Combine like terms: -1 + -13 = -14 2m = -14 Divide each side by '2'. m = -7 Simplifying m = -7
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