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Simplifying 157 = 8(3 + -4m) + 5 157 = (3 * 8 + -4m * 8) + 5 157 = (24 + -32m) + 5 Reorder the terms: 157 = 24 + 5 + -32m Combine like terms: 24 + 5 = 29 157 = 29 + -32m Solving 157 = 29 + -32m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '32m' to each side of the equation. 157 + 32m = 29 + -32m + 32m Combine like terms: -32m + 32m = 0 157 + 32m = 29 + 0 157 + 32m = 29 Add '-157' to each side of the equation. 157 + -157 + 32m = 29 + -157 Combine like terms: 157 + -157 = 0 0 + 32m = 29 + -157 32m = 29 + -157 Combine like terms: 29 + -157 = -128 32m = -128 Divide each side by '32'. m = -4 Simplifying m = -4
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