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Simplifying 567 = 9(m + 27) Reorder the terms: 567 = 9(27 + m) 567 = (27 * 9 + m * 9) 567 = (243 + 9m) Solving 567 = 243 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 567 + -9m = 243 + 9m + -9m Combine like terms: 9m + -9m = 0 567 + -9m = 243 + 0 567 + -9m = 243 Add '-567' to each side of the equation. 567 + -567 + -9m = 243 + -567 Combine like terms: 567 + -567 = 0 0 + -9m = 243 + -567 -9m = 243 + -567 Combine like terms: 243 + -567 = -324 -9m = -324 Divide each side by '-9'. m = 36 Simplifying m = 36
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