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Simplifying 5[2 + -1(2m + -4)] = 2(5 + -3) Reorder the terms: 5[2 + -1(-4 + 2m)] = 2(5 + -3) 5[2 + (-4 * -1 + 2m * -1)] = 2(5 + -3) 5[2 + (4 + -2m)] = 2(5 + -3) Combine like terms: 2 + 4 = 6 5[6 + -2m] = 2(5 + -3) [6 * 5 + -2m * 5] = 2(5 + -3) [30 + -10m] = 2(5 + -3) Combine like terms: 5 + -3 = 2 30 + -10m = 2(2) Multiply 2 * 2 30 + -10m = 4 Solving 30 + -10m = 4 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -10m = 4 + -30 Combine like terms: 30 + -30 = 0 0 + -10m = 4 + -30 -10m = 4 + -30 Combine like terms: 4 + -30 = -26 -10m = -26 Divide each side by '-10'. m = 2.6 Simplifying m = 2.6
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