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Simplifying 0.5[m + 4] = 3[m + -1] Reorder the terms: 0.5[4 + m] = 3[m + -1] [4 * 0.5 + m * 0.5] = 3[m + -1] [2 + 0.5m] = 3[m + -1] Reorder the terms: 2 + 0.5m = 3[-1 + m] 2 + 0.5m = [-1 * 3 + m * 3] 2 + 0.5m = [-3 + 3m] Solving 2 + 0.5m = -3 + 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. 2 + 0.5m + -3m = -3 + 3m + -3m Combine like terms: 0.5m + -3m = -2.5m 2 + -2.5m = -3 + 3m + -3m Combine like terms: 3m + -3m = 0 2 + -2.5m = -3 + 0 2 + -2.5m = -3 Add '-2' to each side of the equation. 2 + -2 + -2.5m = -3 + -2 Combine like terms: 2 + -2 = 0 0 + -2.5m = -3 + -2 -2.5m = -3 + -2 Combine like terms: -3 + -2 = -5 -2.5m = -5 Divide each side by '-2.5'. m = 2 Simplifying m = 2
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