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Simplifying -11(2m + -6) = 3m + 9(3m + -10) Reorder the terms: -11(-6 + 2m) = 3m + 9(3m + -10) (-6 * -11 + 2m * -11) = 3m + 9(3m + -10) (66 + -22m) = 3m + 9(3m + -10) Reorder the terms: 66 + -22m = 3m + 9(-10 + 3m) 66 + -22m = 3m + (-10 * 9 + 3m * 9) 66 + -22m = 3m + (-90 + 27m) Reorder the terms: 66 + -22m = -90 + 3m + 27m Combine like terms: 3m + 27m = 30m 66 + -22m = -90 + 30m Solving 66 + -22m = -90 + 30m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30m' to each side of the equation. 66 + -22m + -30m = -90 + 30m + -30m Combine like terms: -22m + -30m = -52m 66 + -52m = -90 + 30m + -30m Combine like terms: 30m + -30m = 0 66 + -52m = -90 + 0 66 + -52m = -90 Add '-66' to each side of the equation. 66 + -66 + -52m = -90 + -66 Combine like terms: 66 + -66 = 0 0 + -52m = -90 + -66 -52m = -90 + -66 Combine like terms: -90 + -66 = -156 -52m = -156 Divide each side by '-52'. m = 3 Simplifying m = 3
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