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Simplifying -3m + -9 + 1 + -11m = -10(7 + m) + 5(m + -11) Reorder the terms: -9 + 1 + -3m + -11m = -10(7 + m) + 5(m + -11) Combine like terms: -9 + 1 = -8 -8 + -3m + -11m = -10(7 + m) + 5(m + -11) Combine like terms: -3m + -11m = -14m -8 + -14m = -10(7 + m) + 5(m + -11) -8 + -14m = (7 * -10 + m * -10) + 5(m + -11) -8 + -14m = (-70 + -10m) + 5(m + -11) Reorder the terms: -8 + -14m = -70 + -10m + 5(-11 + m) -8 + -14m = -70 + -10m + (-11 * 5 + m * 5) -8 + -14m = -70 + -10m + (-55 + 5m) Reorder the terms: -8 + -14m = -70 + -55 + -10m + 5m Combine like terms: -70 + -55 = -125 -8 + -14m = -125 + -10m + 5m Combine like terms: -10m + 5m = -5m -8 + -14m = -125 + -5m Solving -8 + -14m = -125 + -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. -8 + -14m + 5m = -125 + -5m + 5m Combine like terms: -14m + 5m = -9m -8 + -9m = -125 + -5m + 5m Combine like terms: -5m + 5m = 0 -8 + -9m = -125 + 0 -8 + -9m = -125 Add '8' to each side of the equation. -8 + 8 + -9m = -125 + 8 Combine like terms: -8 + 8 = 0 0 + -9m = -125 + 8 -9m = -125 + 8 Combine like terms: -125 + 8 = -117 -9m = -117 Divide each side by '-9'. m = 13 Simplifying m = 13
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