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Simplifying 58 = -8(8m + 5) + -3(-1m + 8) Reorder the terms: 58 = -8(5 + 8m) + -3(-1m + 8) 58 = (5 * -8 + 8m * -8) + -3(-1m + 8) 58 = (-40 + -64m) + -3(-1m + 8) Reorder the terms: 58 = -40 + -64m + -3(8 + -1m) 58 = -40 + -64m + (8 * -3 + -1m * -3) 58 = -40 + -64m + (-24 + 3m) Reorder the terms: 58 = -40 + -24 + -64m + 3m Combine like terms: -40 + -24 = -64 58 = -64 + -64m + 3m Combine like terms: -64m + 3m = -61m 58 = -64 + -61m Solving 58 = -64 + -61m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '61m' to each side of the equation. 58 + 61m = -64 + -61m + 61m Combine like terms: -61m + 61m = 0 58 + 61m = -64 + 0 58 + 61m = -64 Add '-58' to each side of the equation. 58 + -58 + 61m = -64 + -58 Combine like terms: 58 + -58 = 0 0 + 61m = -64 + -58 61m = -64 + -58 Combine like terms: -64 + -58 = -122 61m = -122 Divide each side by '61'. m = -2 Simplifying m = -2
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