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Simplifying -5m + 12 + -3(m + -3) = 8m + -1(9m + -2) + -3m + 3 Reorder the terms: -5m + 12 + -3(-3 + m) = 8m + -1(9m + -2) + -3m + 3 -5m + 12 + (-3 * -3 + m * -3) = 8m + -1(9m + -2) + -3m + 3 -5m + 12 + (9 + -3m) = 8m + -1(9m + -2) + -3m + 3 Reorder the terms: 12 + 9 + -5m + -3m = 8m + -1(9m + -2) + -3m + 3 Combine like terms: 12 + 9 = 21 21 + -5m + -3m = 8m + -1(9m + -2) + -3m + 3 Combine like terms: -5m + -3m = -8m 21 + -8m = 8m + -1(9m + -2) + -3m + 3 Reorder the terms: 21 + -8m = 8m + -1(-2 + 9m) + -3m + 3 21 + -8m = 8m + (-2 * -1 + 9m * -1) + -3m + 3 21 + -8m = 8m + (2 + -9m) + -3m + 3 Reorder the terms: 21 + -8m = 2 + 3 + 8m + -9m + -3m Combine like terms: 2 + 3 = 5 21 + -8m = 5 + 8m + -9m + -3m Combine like terms: 8m + -9m = -1m 21 + -8m = 5 + -1m + -3m Combine like terms: -1m + -3m = -4m 21 + -8m = 5 + -4m Solving 21 + -8m = 5 + -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. 21 + -8m + 4m = 5 + -4m + 4m Combine like terms: -8m + 4m = -4m 21 + -4m = 5 + -4m + 4m Combine like terms: -4m + 4m = 0 21 + -4m = 5 + 0 21 + -4m = 5 Add '-21' to each side of the equation. 21 + -21 + -4m = 5 + -21 Combine like terms: 21 + -21 = 0 0 + -4m = 5 + -21 -4m = 5 + -21 Combine like terms: 5 + -21 = -16 -4m = -16 Divide each side by '-4'. m = 4 Simplifying m = 4
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