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Simplifying 11 + 4m = 4(-1m + -8) + 5(4m + 3) Reorder the terms: 11 + 4m = 4(-8 + -1m) + 5(4m + 3) 11 + 4m = (-8 * 4 + -1m * 4) + 5(4m + 3) 11 + 4m = (-32 + -4m) + 5(4m + 3) Reorder the terms: 11 + 4m = -32 + -4m + 5(3 + 4m) 11 + 4m = -32 + -4m + (3 * 5 + 4m * 5) 11 + 4m = -32 + -4m + (15 + 20m) Reorder the terms: 11 + 4m = -32 + 15 + -4m + 20m Combine like terms: -32 + 15 = -17 11 + 4m = -17 + -4m + 20m Combine like terms: -4m + 20m = 16m 11 + 4m = -17 + 16m Solving 11 + 4m = -17 + 16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16m' to each side of the equation. 11 + 4m + -16m = -17 + 16m + -16m Combine like terms: 4m + -16m = -12m 11 + -12m = -17 + 16m + -16m Combine like terms: 16m + -16m = 0 11 + -12m = -17 + 0 11 + -12m = -17 Add '-11' to each side of the equation. 11 + -11 + -12m = -17 + -11 Combine like terms: 11 + -11 = 0 0 + -12m = -17 + -11 -12m = -17 + -11 Combine like terms: -17 + -11 = -28 -12m = -28 Divide each side by '-12'. m = 2.333333333 Simplifying m = 2.333333333
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