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Simplifying 11m + -2m = -1(m + 10) + 10(5m + -7) Combine like terms: 11m + -2m = 9m 9m = -1(m + 10) + 10(5m + -7) Reorder the terms: 9m = -1(10 + m) + 10(5m + -7) 9m = (10 * -1 + m * -1) + 10(5m + -7) 9m = (-10 + -1m) + 10(5m + -7) Reorder the terms: 9m = -10 + -1m + 10(-7 + 5m) 9m = -10 + -1m + (-7 * 10 + 5m * 10) 9m = -10 + -1m + (-70 + 50m) Reorder the terms: 9m = -10 + -70 + -1m + 50m Combine like terms: -10 + -70 = -80 9m = -80 + -1m + 50m Combine like terms: -1m + 50m = 49m 9m = -80 + 49m Solving 9m = -80 + 49m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-49m' to each side of the equation. 9m + -49m = -80 + 49m + -49m Combine like terms: 9m + -49m = -40m -40m = -80 + 49m + -49m Combine like terms: 49m + -49m = 0 -40m = -80 + 0 -40m = -80 Divide each side by '-40'. m = 2 Simplifying m = 2
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