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Simplifying 4 + -1[2(m + -3) + -1(m + -9)] = 3(m + -2) Reorder the terms: 4 + -1[2(-3 + m) + -1(m + -9)] = 3(m + -2) 4 + -1[(-3 * 2 + m * 2) + -1(m + -9)] = 3(m + -2) 4 + -1[(-6 + 2m) + -1(m + -9)] = 3(m + -2) Reorder the terms: 4 + -1[-6 + 2m + -1(-9 + m)] = 3(m + -2) 4 + -1[-6 + 2m + (-9 * -1 + m * -1)] = 3(m + -2) 4 + -1[-6 + 2m + (9 + -1m)] = 3(m + -2) Reorder the terms: 4 + -1[-6 + 9 + 2m + -1m] = 3(m + -2) Combine like terms: -6 + 9 = 3 4 + -1[3 + 2m + -1m] = 3(m + -2) Combine like terms: 2m + -1m = 1m 4 + -1[3 + 1m] = 3(m + -2) 4 + [3 * -1 + 1m * -1] = 3(m + -2) 4 + [-3 + -1m] = 3(m + -2) Combine like terms: 4 + -3 = 1 1 + -1m = 3(m + -2) Reorder the terms: 1 + -1m = 3(-2 + m) 1 + -1m = (-2 * 3 + m * 3) 1 + -1m = (-6 + 3m) Solving 1 + -1m = -6 + 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. 1 + -1m + -3m = -6 + 3m + -3m Combine like terms: -1m + -3m = -4m 1 + -4m = -6 + 3m + -3m Combine like terms: 3m + -3m = 0 1 + -4m = -6 + 0 1 + -4m = -6 Add '-1' to each side of the equation. 1 + -1 + -4m = -6 + -1 Combine like terms: 1 + -1 = 0 0 + -4m = -6 + -1 -4m = -6 + -1 Combine like terms: -6 + -1 = -7 -4m = -7 Divide each side by '-4'. m = 1.75 Simplifying m = 1.75
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