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Simplifying 2(m + 1) + 3 = (m + -2) * 5 Reorder the terms: 2(1 + m) + 3 = (m + -2) * 5 (1 * 2 + m * 2) + 3 = (m + -2) * 5 (2 + 2m) + 3 = (m + -2) * 5 Reorder the terms: 2 + 3 + 2m = (m + -2) * 5 Combine like terms: 2 + 3 = 5 5 + 2m = (m + -2) * 5 Reorder the terms: 5 + 2m = (-2 + m) * 5 Reorder the terms for easier multiplication: 5 + 2m = 5(-2 + m) 5 + 2m = (-2 * 5 + m * 5) 5 + 2m = (-10 + 5m) Solving 5 + 2m = -10 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 5 + 2m + -5m = -10 + 5m + -5m Combine like terms: 2m + -5m = -3m 5 + -3m = -10 + 5m + -5m Combine like terms: 5m + -5m = 0 5 + -3m = -10 + 0 5 + -3m = -10 Add '-5' to each side of the equation. 5 + -5 + -3m = -10 + -5 Combine like terms: 5 + -5 = 0 0 + -3m = -10 + -5 -3m = -10 + -5 Combine like terms: -10 + -5 = -15 -3m = -15 Divide each side by '-3'. m = 5 Simplifying m = 5
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