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Simplifying 249 = 4m + 7(6m + -17) Reorder the terms: 249 = 4m + 7(-17 + 6m) 249 = 4m + (-17 * 7 + 6m * 7) 249 = 4m + (-119 + 42m) Reorder the terms: 249 = -119 + 4m + 42m Combine like terms: 4m + 42m = 46m 249 = -119 + 46m Solving 249 = -119 + 46m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-46m' to each side of the equation. 249 + -46m = -119 + 46m + -46m Combine like terms: 46m + -46m = 0 249 + -46m = -119 + 0 249 + -46m = -119 Add '-249' to each side of the equation. 249 + -249 + -46m = -119 + -249 Combine like terms: 249 + -249 = 0 0 + -46m = -119 + -249 -46m = -119 + -249 Combine like terms: -119 + -249 = -368 -46m = -368 Divide each side by '-46'. m = 8 Simplifying m = 8
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