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Simplifying -9(6m + -11) = 6m + 11(-6m + 9) Reorder the terms: -9(-11 + 6m) = 6m + 11(-6m + 9) (-11 * -9 + 6m * -9) = 6m + 11(-6m + 9) (99 + -54m) = 6m + 11(-6m + 9) Reorder the terms: 99 + -54m = 6m + 11(9 + -6m) 99 + -54m = 6m + (9 * 11 + -6m * 11) 99 + -54m = 6m + (99 + -66m) Reorder the terms: 99 + -54m = 99 + 6m + -66m Combine like terms: 6m + -66m = -60m 99 + -54m = 99 + -60m Add '-99' to each side of the equation. 99 + -99 + -54m = 99 + -99 + -60m Combine like terms: 99 + -99 = 0 0 + -54m = 99 + -99 + -60m -54m = 99 + -99 + -60m Combine like terms: 99 + -99 = 0 -54m = 0 + -60m -54m = -60m Solving -54m = -60m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '60m' to each side of the equation. -54m + 60m = -60m + 60m Combine like terms: -54m + 60m = 6m 6m = -60m + 60m Combine like terms: -60m + 60m = 0 6m = 0 Divide each side by '6'. m = 0 Simplifying m = 0
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