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Simplifying 9(11 + -1m) = 5(m + -7) (11 * 9 + -1m * 9) = 5(m + -7) (99 + -9m) = 5(m + -7) Reorder the terms: 99 + -9m = 5(-7 + m) 99 + -9m = (-7 * 5 + m * 5) 99 + -9m = (-35 + 5m) Solving 99 + -9m = -35 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 99 + -9m + -5m = -35 + 5m + -5m Combine like terms: -9m + -5m = -14m 99 + -14m = -35 + 5m + -5m Combine like terms: 5m + -5m = 0 99 + -14m = -35 + 0 99 + -14m = -35 Add '-99' to each side of the equation. 99 + -99 + -14m = -35 + -99 Combine like terms: 99 + -99 = 0 0 + -14m = -35 + -99 -14m = -35 + -99 Combine like terms: -35 + -99 = -134 -14m = -134 Divide each side by '-14'. m = 9.571428571 Simplifying m = 9.571428571
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