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Simplifying 4(m + 2) + -5 = 2m + 3 Reorder the terms: 4(2 + m) + -5 = 2m + 3 (2 * 4 + m * 4) + -5 = 2m + 3 (8 + 4m) + -5 = 2m + 3 Reorder the terms: 8 + -5 + 4m = 2m + 3 Combine like terms: 8 + -5 = 3 3 + 4m = 2m + 3 Reorder the terms: 3 + 4m = 3 + 2m Add '-3' to each side of the equation. 3 + -3 + 4m = 3 + -3 + 2m Combine like terms: 3 + -3 = 0 0 + 4m = 3 + -3 + 2m 4m = 3 + -3 + 2m Combine like terms: 3 + -3 = 0 4m = 0 + 2m 4m = 2m Solving 4m = 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. 4m + -2m = 2m + -2m Combine like terms: 4m + -2m = 2m 2m = 2m + -2m Combine like terms: 2m + -2m = 0 2m = 0 Divide each side by '2'. m = 0 Simplifying m = 0
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