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Simplifying 6(8m + 6) = 9(4 + m) Reorder the terms: 6(6 + 8m) = 9(4 + m) (6 * 6 + 8m * 6) = 9(4 + m) (36 + 48m) = 9(4 + m) 36 + 48m = (4 * 9 + m * 9) 36 + 48m = (36 + 9m) Add '-36' to each side of the equation. 36 + -36 + 48m = 36 + -36 + 9m Combine like terms: 36 + -36 = 0 0 + 48m = 36 + -36 + 9m 48m = 36 + -36 + 9m Combine like terms: 36 + -36 = 0 48m = 0 + 9m 48m = 9m Solving 48m = 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. 48m + -9m = 9m + -9m Combine like terms: 48m + -9m = 39m 39m = 9m + -9m Combine like terms: 9m + -9m = 0 39m = 0 Divide each side by '39'. m = 0 Simplifying m = 0
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