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Simplifying -11m + -10m = -5(-8 + -5m) + 10(-8 + -5m) Combine like terms: -11m + -10m = -21m -21m = -5(-8 + -5m) + 10(-8 + -5m) -21m = (-8 * -5 + -5m * -5) + 10(-8 + -5m) -21m = (40 + 25m) + 10(-8 + -5m) -21m = 40 + 25m + (-8 * 10 + -5m * 10) -21m = 40 + 25m + (-80 + -50m) Reorder the terms: -21m = 40 + -80 + 25m + -50m Combine like terms: 40 + -80 = -40 -21m = -40 + 25m + -50m Combine like terms: 25m + -50m = -25m -21m = -40 + -25m Solving -21m = -40 + -25m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '25m' to each side of the equation. -21m + 25m = -40 + -25m + 25m Combine like terms: -21m + 25m = 4m 4m = -40 + -25m + 25m Combine like terms: -25m + 25m = 0 4m = -40 + 0 4m = -40 Divide each side by '4'. m = -10 Simplifying m = -10
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