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Simplifying m(m + -3) + -2m(m + -4) = -1[m2 + -4m] + 6 Reorder the terms: m(-3 + m) + -2m(m + -4) = -1[m2 + -4m] + 6 (-3 * m + m * m) + -2m(m + -4) = -1[m2 + -4m] + 6 (-3m + m2) + -2m(m + -4) = -1[m2 + -4m] + 6 Reorder the terms: -3m + m2 + -2m(-4 + m) = -1[m2 + -4m] + 6 -3m + m2 + (-4 * -2m + m * -2m) = -1[m2 + -4m] + 6 -3m + m2 + (8m + -2m2) = -1[m2 + -4m] + 6 Reorder the terms: -3m + 8m + m2 + -2m2 = -1[m2 + -4m] + 6 Combine like terms: -3m + 8m = 5m 5m + m2 + -2m2 = -1[m2 + -4m] + 6 Combine like terms: m2 + -2m2 = -1m2 5m + -1m2 = -1[m2 + -4m] + 6 Reorder the terms: 5m + -1m2 = -1[-4m + m2] + 6 5m + -1m2 = [-4m * -1 + m2 * -1] + 6 5m + -1m2 = [4m + -1m2] + 6 Reorder the terms: 5m + -1m2 = 6 + 4m + -1m2 Add 'm2' to each side of the equation. 5m + -1m2 + m2 = 6 + 4m + -1m2 + m2 Combine like terms: -1m2 + m2 = 0 5m + 0 = 6 + 4m + -1m2 + m2 5m = 6 + 4m + -1m2 + m2 Combine like terms: -1m2 + m2 = 0 5m = 6 + 4m + 0 5m = 6 + 4m Solving 5m = 6 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 5m + -4m = 6 + 4m + -4m Combine like terms: 5m + -4m = 1m 1m = 6 + 4m + -4m Combine like terms: 4m + -4m = 0 1m = 6 + 0 1m = 6 Divide each side by '1'. m = 6 Simplifying m = 6
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