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Simplifying (4m + 3) * 9 + 6m = 45m + 13 Reorder the terms: (3 + 4m) * 9 + 6m = 45m + 13 Reorder the terms for easier multiplication: 9(3 + 4m) + 6m = 45m + 13 (3 * 9 + 4m * 9) + 6m = 45m + 13 (27 + 36m) + 6m = 45m + 13 Combine like terms: 36m + 6m = 42m 27 + 42m = 45m + 13 Reorder the terms: 27 + 42m = 13 + 45m Solving 27 + 42m = 13 + 45m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-45m' to each side of the equation. 27 + 42m + -45m = 13 + 45m + -45m Combine like terms: 42m + -45m = -3m 27 + -3m = 13 + 45m + -45m Combine like terms: 45m + -45m = 0 27 + -3m = 13 + 0 27 + -3m = 13 Add '-27' to each side of the equation. 27 + -27 + -3m = 13 + -27 Combine like terms: 27 + -27 = 0 0 + -3m = 13 + -27 -3m = 13 + -27 Combine like terms: 13 + -27 = -14 -3m = -14 Divide each side by '-3'. m = 4.666666667 Simplifying m = 4.666666667
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