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Simplifying 2m + -11m = 11(9 + -4m) + 8(3m + -11) Combine like terms: 2m + -11m = -9m -9m = 11(9 + -4m) + 8(3m + -11) -9m = (9 * 11 + -4m * 11) + 8(3m + -11) -9m = (99 + -44m) + 8(3m + -11) Reorder the terms: -9m = 99 + -44m + 8(-11 + 3m) -9m = 99 + -44m + (-11 * 8 + 3m * 8) -9m = 99 + -44m + (-88 + 24m) Reorder the terms: -9m = 99 + -88 + -44m + 24m Combine like terms: 99 + -88 = 11 -9m = 11 + -44m + 24m Combine like terms: -44m + 24m = -20m -9m = 11 + -20m Solving -9m = 11 + -20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '20m' to each side of the equation. -9m + 20m = 11 + -20m + 20m Combine like terms: -9m + 20m = 11m 11m = 11 + -20m + 20m Combine like terms: -20m + 20m = 0 11m = 11 + 0 11m = 11 Divide each side by '11'. m = 1 Simplifying m = 1
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