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Simplifying -27 = 5(1 + 7m) + -3m -27 = (1 * 5 + 7m * 5) + -3m -27 = (5 + 35m) + -3m Combine like terms: 35m + -3m = 32m -27 = 5 + 32m Solving -27 = 5 + 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. -27 + -32m = 5 + 32m + -32m Combine like terms: 32m + -32m = 0 -27 + -32m = 5 + 0 -27 + -32m = 5 Add '27' to each side of the equation. -27 + 27 + -32m = 5 + 27 Combine like terms: -27 + 27 = 0 0 + -32m = 5 + 27 -32m = 5 + 27 Combine like terms: 5 + 27 = 32 -32m = 32 Divide each side by '-32'. m = -1 Simplifying m = -1
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