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Simplifying 81(3m + 1) = 9(3m) Reorder the terms: 81(1 + 3m) = 9(3m) (1 * 81 + 3m * 81) = 9(3m) (81 + 243m) = 9(3m) Remove parenthesis around (3m) 81 + 243m = 9 * 3m Multiply 9 * 3 81 + 243m = 27m Solving 81 + 243m = 27m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-27m' to each side of the equation. 81 + 243m + -27m = 27m + -27m Combine like terms: 243m + -27m = 216m 81 + 216m = 27m + -27m Combine like terms: 27m + -27m = 0 81 + 216m = 0 Add '-81' to each side of the equation. 81 + -81 + 216m = 0 + -81 Combine like terms: 81 + -81 = 0 0 + 216m = 0 + -81 216m = 0 + -81 Combine like terms: 0 + -81 = -81 216m = -81 Divide each side by '216'. m = -0.375 Simplifying m = -0.375
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