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Simplifying 8(3m + 4) + -1 = 8m + -33 Reorder the terms: 8(4 + 3m) + -1 = 8m + -33 (4 * 8 + 3m * 8) + -1 = 8m + -33 (32 + 24m) + -1 = 8m + -33 Reorder the terms: 32 + -1 + 24m = 8m + -33 Combine like terms: 32 + -1 = 31 31 + 24m = 8m + -33 Reorder the terms: 31 + 24m = -33 + 8m Solving 31 + 24m = -33 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 31 + 24m + -8m = -33 + 8m + -8m Combine like terms: 24m + -8m = 16m 31 + 16m = -33 + 8m + -8m Combine like terms: 8m + -8m = 0 31 + 16m = -33 + 0 31 + 16m = -33 Add '-31' to each side of the equation. 31 + -31 + 16m = -33 + -31 Combine like terms: 31 + -31 = 0 0 + 16m = -33 + -31 16m = -33 + -31 Combine like terms: -33 + -31 = -64 16m = -64 Divide each side by '16'. m = -4 Simplifying m = -4
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