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Simplifying -1(4m + 11) + -2m + -5 = 2(3m + 4) Reorder the terms: -1(11 + 4m) + -2m + -5 = 2(3m + 4) (11 * -1 + 4m * -1) + -2m + -5 = 2(3m + 4) (-11 + -4m) + -2m + -5 = 2(3m + 4) Reorder the terms: -11 + -5 + -4m + -2m = 2(3m + 4) Combine like terms: -11 + -5 = -16 -16 + -4m + -2m = 2(3m + 4) Combine like terms: -4m + -2m = -6m -16 + -6m = 2(3m + 4) Reorder the terms: -16 + -6m = 2(4 + 3m) -16 + -6m = (4 * 2 + 3m * 2) -16 + -6m = (8 + 6m) Solving -16 + -6m = 8 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -16 + -6m + -6m = 8 + 6m + -6m Combine like terms: -6m + -6m = -12m -16 + -12m = 8 + 6m + -6m Combine like terms: 6m + -6m = 0 -16 + -12m = 8 + 0 -16 + -12m = 8 Add '16' to each side of the equation. -16 + 16 + -12m = 8 + 16 Combine like terms: -16 + 16 = 0 0 + -12m = 8 + 16 -12m = 8 + 16 Combine like terms: 8 + 16 = 24 -12m = 24 Divide each side by '-12'. m = -2 Simplifying m = -2
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