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Simplifying 3(2m + -5) + -11 = 3 + -4(3m + 2) Reorder the terms: 3(-5 + 2m) + -11 = 3 + -4(3m + 2) (-5 * 3 + 2m * 3) + -11 = 3 + -4(3m + 2) (-15 + 6m) + -11 = 3 + -4(3m + 2) Reorder the terms: -15 + -11 + 6m = 3 + -4(3m + 2) Combine like terms: -15 + -11 = -26 -26 + 6m = 3 + -4(3m + 2) Reorder the terms: -26 + 6m = 3 + -4(2 + 3m) -26 + 6m = 3 + (2 * -4 + 3m * -4) -26 + 6m = 3 + (-8 + -12m) Combine like terms: 3 + -8 = -5 -26 + 6m = -5 + -12m Solving -26 + 6m = -5 + -12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12m' to each side of the equation. -26 + 6m + 12m = -5 + -12m + 12m Combine like terms: 6m + 12m = 18m -26 + 18m = -5 + -12m + 12m Combine like terms: -12m + 12m = 0 -26 + 18m = -5 + 0 -26 + 18m = -5 Add '26' to each side of the equation. -26 + 26 + 18m = -5 + 26 Combine like terms: -26 + 26 = 0 0 + 18m = -5 + 26 18m = -5 + 26 Combine like terms: -5 + 26 = 21 18m = 21 Divide each side by '18'. m = 1.166666667 Simplifying m = 1.166666667
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