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Simplifying 127 = -5 + 4(8m + 1) Reorder the terms: 127 = -5 + 4(1 + 8m) 127 = -5 + (1 * 4 + 8m * 4) 127 = -5 + (4 + 32m) Combine like terms: -5 + 4 = -1 127 = -1 + 32m Solving 127 = -1 + 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. 127 + -32m = -1 + 32m + -32m Combine like terms: 32m + -32m = 0 127 + -32m = -1 + 0 127 + -32m = -1 Add '-127' to each side of the equation. 127 + -127 + -32m = -1 + -127 Combine like terms: 127 + -127 = 0 0 + -32m = -1 + -127 -32m = -1 + -127 Combine like terms: -1 + -127 = -128 -32m = -128 Divide each side by '-32'. m = 4 Simplifying m = 4
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