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Simplifying (2m + -5)(3m + 6) = (6m + -5)(m + -4) Reorder the terms: (-5 + 2m)(3m + 6) = (6m + -5)(m + -4) Reorder the terms: (-5 + 2m)(6 + 3m) = (6m + -5)(m + -4) Multiply (-5 + 2m) * (6 + 3m) (-5(6 + 3m) + 2m * (6 + 3m)) = (6m + -5)(m + -4) ((6 * -5 + 3m * -5) + 2m * (6 + 3m)) = (6m + -5)(m + -4) ((-30 + -15m) + 2m * (6 + 3m)) = (6m + -5)(m + -4) (-30 + -15m + (6 * 2m + 3m * 2m)) = (6m + -5)(m + -4) (-30 + -15m + (12m + 6m2)) = (6m + -5)(m + -4) Combine like terms: -15m + 12m = -3m (-30 + -3m + 6m2) = (6m + -5)(m + -4) Reorder the terms: -30 + -3m + 6m2 = (-5 + 6m)(m + -4) Reorder the terms: -30 + -3m + 6m2 = (-5 + 6m)(-4 + m) Multiply (-5 + 6m) * (-4 + m) -30 + -3m + 6m2 = (-5(-4 + m) + 6m * (-4 + m)) -30 + -3m + 6m2 = ((-4 * -5 + m * -5) + 6m * (-4 + m)) -30 + -3m + 6m2 = ((20 + -5m) + 6m * (-4 + m)) -30 + -3m + 6m2 = (20 + -5m + (-4 * 6m + m * 6m)) -30 + -3m + 6m2 = (20 + -5m + (-24m + 6m2)) Combine like terms: -5m + -24m = -29m -30 + -3m + 6m2 = (20 + -29m + 6m2) Add '-6m2' to each side of the equation. -30 + -3m + 6m2 + -6m2 = 20 + -29m + 6m2 + -6m2 Combine like terms: 6m2 + -6m2 = 0 -30 + -3m + 0 = 20 + -29m + 6m2 + -6m2 -30 + -3m = 20 + -29m + 6m2 + -6m2 Combine like terms: 6m2 + -6m2 = 0 -30 + -3m = 20 + -29m + 0 -30 + -3m = 20 + -29m Solving -30 + -3m = 20 + -29m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '29m' to each side of the equation. -30 + -3m + 29m = 20 + -29m + 29m Combine like terms: -3m + 29m = 26m -30 + 26m = 20 + -29m + 29m Combine like terms: -29m + 29m = 0 -30 + 26m = 20 + 0 -30 + 26m = 20 Add '30' to each side of the equation. -30 + 30 + 26m = 20 + 30 Combine like terms: -30 + 30 = 0 0 + 26m = 20 + 30 26m = 20 + 30 Combine like terms: 20 + 30 = 50 26m = 50 Divide each side by '26'. m = 1.923076923 Simplifying m = 1.923076923
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