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Simplifying 6(8m + 11) = 9(2m + -23) Reorder the terms: 6(11 + 8m) = 9(2m + -23) (11 * 6 + 8m * 6) = 9(2m + -23) (66 + 48m) = 9(2m + -23) Reorder the terms: 66 + 48m = 9(-23 + 2m) 66 + 48m = (-23 * 9 + 2m * 9) 66 + 48m = (-207 + 18m) Solving 66 + 48m = -207 + 18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18m' to each side of the equation. 66 + 48m + -18m = -207 + 18m + -18m Combine like terms: 48m + -18m = 30m 66 + 30m = -207 + 18m + -18m Combine like terms: 18m + -18m = 0 66 + 30m = -207 + 0 66 + 30m = -207 Add '-66' to each side of the equation. 66 + -66 + 30m = -207 + -66 Combine like terms: 66 + -66 = 0 0 + 30m = -207 + -66 30m = -207 + -66 Combine like terms: -207 + -66 = -273 30m = -273 Divide each side by '30'. m = -9.1 Simplifying m = -9.1
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