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Simplifying (2m + 1)(9) + 5(5x + 3) = 0 Reorder the terms: (1 + 2m)(9) + 5(5x + 3) = 0 Reorder the terms for easier multiplication: 9(1 + 2m) + 5(5x + 3) = 0 (1 * 9 + 2m * 9) + 5(5x + 3) = 0 (9 + 18m) + 5(5x + 3) = 0 Reorder the terms: 9 + 18m + 5(3 + 5x) = 0 9 + 18m + (3 * 5 + 5x * 5) = 0 9 + 18m + (15 + 25x) = 0 Reorder the terms: 9 + 15 + 18m + 25x = 0 Combine like terms: 9 + 15 = 24 24 + 18m + 25x = 0 Solving 24 + 18m + 25x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 18m + -24 + 25x = 0 + -24 Reorder the terms: 24 + -24 + 18m + 25x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 18m + 25x = 0 + -24 18m + 25x = 0 + -24 Combine like terms: 0 + -24 = -24 18m + 25x = -24 Add '-25x' to each side of the equation. 18m + 25x + -25x = -24 + -25x Combine like terms: 25x + -25x = 0 18m + 0 = -24 + -25x 18m = -24 + -25x Divide each side by '18'. m = -1.333333333 + -1.388888889x Simplifying m = -1.333333333 + -1.388888889x
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