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Simplifying 3(m + 2) = 5m + -3 Reorder the terms: 3(2 + m) = 5m + -3 (2 * 3 + m * 3) = 5m + -3 (6 + 3m) = 5m + -3 Reorder the terms: 6 + 3m = -3 + 5m Solving 6 + 3m = -3 + 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. 6 + 3m + -5m = -3 + 5m + -5m Combine like terms: 3m + -5m = -2m 6 + -2m = -3 + 5m + -5m Combine like terms: 5m + -5m = 0 6 + -2m = -3 + 0 6 + -2m = -3 Add '-6' to each side of the equation. 6 + -6 + -2m = -3 + -6 Combine like terms: 6 + -6 = 0 0 + -2m = -3 + -6 -2m = -3 + -6 Combine like terms: -3 + -6 = -9 -2m = -9 Divide each side by '-2'. m = 4.5 Simplifying m = 4.5
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