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Simplifying 5(3 + -1m) + 4 = 1m + 4m + -11 (3 * 5 + -1m * 5) + 4 = 1m + 4m + -11 (15 + -5m) + 4 = 1m + 4m + -11 Reorder the terms: 15 + 4 + -5m = 1m + 4m + -11 Combine like terms: 15 + 4 = 19 19 + -5m = 1m + 4m + -11 Reorder the terms: 19 + -5m = -11 + 1m + 4m Combine like terms: 1m + 4m = 5m 19 + -5m = -11 + 5m Solving 19 + -5m = -11 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 19 + -5m + -5m = -11 + 5m + -5m Combine like terms: -5m + -5m = -10m 19 + -10m = -11 + 5m + -5m Combine like terms: 5m + -5m = 0 19 + -10m = -11 + 0 19 + -10m = -11 Add '-19' to each side of the equation. 19 + -19 + -10m = -11 + -19 Combine like terms: 19 + -19 = 0 0 + -10m = -11 + -19 -10m = -11 + -19 Combine like terms: -11 + -19 = -30 -10m = -30 Divide each side by '-10'. m = 3 Simplifying m = 3
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