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Simplifying -6(11m + -6) = -9m + -6(10m + -4) Reorder the terms: -6(-6 + 11m) = -9m + -6(10m + -4) (-6 * -6 + 11m * -6) = -9m + -6(10m + -4) (36 + -66m) = -9m + -6(10m + -4) Reorder the terms: 36 + -66m = -9m + -6(-4 + 10m) 36 + -66m = -9m + (-4 * -6 + 10m * -6) 36 + -66m = -9m + (24 + -60m) Reorder the terms: 36 + -66m = 24 + -9m + -60m Combine like terms: -9m + -60m = -69m 36 + -66m = 24 + -69m Solving 36 + -66m = 24 + -69m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '69m' to each side of the equation. 36 + -66m + 69m = 24 + -69m + 69m Combine like terms: -66m + 69m = 3m 36 + 3m = 24 + -69m + 69m Combine like terms: -69m + 69m = 0 36 + 3m = 24 + 0 36 + 3m = 24 Add '-36' to each side of the equation. 36 + -36 + 3m = 24 + -36 Combine like terms: 36 + -36 = 0 0 + 3m = 24 + -36 3m = 24 + -36 Combine like terms: 24 + -36 = -12 3m = -12 Divide each side by '3'. m = -4 Simplifying m = -4
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