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Simplifying 31 + -1m = -2 + 8(8m + -4) Reorder the terms: 31 + -1m = -2 + 8(-4 + 8m) 31 + -1m = -2 + (-4 * 8 + 8m * 8) 31 + -1m = -2 + (-32 + 64m) Combine like terms: -2 + -32 = -34 31 + -1m = -34 + 64m Solving 31 + -1m = -34 + 64m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-64m' to each side of the equation. 31 + -1m + -64m = -34 + 64m + -64m Combine like terms: -1m + -64m = -65m 31 + -65m = -34 + 64m + -64m Combine like terms: 64m + -64m = 0 31 + -65m = -34 + 0 31 + -65m = -34 Add '-31' to each side of the equation. 31 + -31 + -65m = -34 + -31 Combine like terms: 31 + -31 = 0 0 + -65m = -34 + -31 -65m = -34 + -31 Combine like terms: -34 + -31 = -65 -65m = -65 Divide each side by '-65'. m = 1 Simplifying m = 1
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