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Simplifying 41 = 15 + 13(9m + -16) Reorder the terms: 41 = 15 + 13(-16 + 9m) 41 = 15 + (-16 * 13 + 9m * 13) 41 = 15 + (-208 + 117m) Combine like terms: 15 + -208 = -193 41 = -193 + 117m Solving 41 = -193 + 117m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-117m' to each side of the equation. 41 + -117m = -193 + 117m + -117m Combine like terms: 117m + -117m = 0 41 + -117m = -193 + 0 41 + -117m = -193 Add '-41' to each side of the equation. 41 + -41 + -117m = -193 + -41 Combine like terms: 41 + -41 = 0 0 + -117m = -193 + -41 -117m = -193 + -41 Combine like terms: -193 + -41 = -234 -117m = -234 Divide each side by '-117'. m = 2 Simplifying m = 2
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