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Simplifying 2(m + -2) + 3(m + 4) + -1m(2 + -1) = 16 Reorder the terms: 2(-2 + m) + 3(m + 4) + -1m(2 + -1) = 16 (-2 * 2 + m * 2) + 3(m + 4) + -1m(2 + -1) = 16 (-4 + 2m) + 3(m + 4) + -1m(2 + -1) = 16 Reorder the terms: -4 + 2m + 3(4 + m) + -1m(2 + -1) = 16 -4 + 2m + (4 * 3 + m * 3) + -1m(2 + -1) = 16 -4 + 2m + (12 + 3m) + -1m(2 + -1) = 16 Combine like terms: 2 + -1 = 1 -4 + 2m + 12 + 3m + -1m(1) = 16 Reorder the terms for easier multiplication: -4 + 2m + 12 + 3m + -1 * 1m = 16 Multiply -1 * 1 -4 + 2m + 12 + 3m + -1m = 16 Reorder the terms: -4 + 12 + 2m + 3m + -1m = 16 Combine like terms: -4 + 12 = 8 8 + 2m + 3m + -1m = 16 Combine like terms: 2m + 3m = 5m 8 + 5m + -1m = 16 Combine like terms: 5m + -1m = 4m 8 + 4m = 16 Solving 8 + 4m = 16 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4m = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 4m = 16 + -8 4m = 16 + -8 Combine like terms: 16 + -8 = 8 4m = 8 Divide each side by '4'. m = 2 Simplifying m = 2
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