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Simplifying -15m + -9(-5m + -18) = 20m + -8 + -20 Reorder the terms: -15m + -9(-18 + -5m) = 20m + -8 + -20 -15m + (-18 * -9 + -5m * -9) = 20m + -8 + -20 -15m + (162 + 45m) = 20m + -8 + -20 Reorder the terms: 162 + -15m + 45m = 20m + -8 + -20 Combine like terms: -15m + 45m = 30m 162 + 30m = 20m + -8 + -20 Reorder the terms: 162 + 30m = -8 + -20 + 20m Combine like terms: -8 + -20 = -28 162 + 30m = -28 + 20m Solving 162 + 30m = -28 + 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. 162 + 30m + -20m = -28 + 20m + -20m Combine like terms: 30m + -20m = 10m 162 + 10m = -28 + 20m + -20m Combine like terms: 20m + -20m = 0 162 + 10m = -28 + 0 162 + 10m = -28 Add '-162' to each side of the equation. 162 + -162 + 10m = -28 + -162 Combine like terms: 162 + -162 = 0 0 + 10m = -28 + -162 10m = -28 + -162 Combine like terms: -28 + -162 = -190 10m = -190 Divide each side by '10'. m = -19 Simplifying m = -19
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