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Simplifying (m + 3)(2m + -5) = 2m2 + 4m + -3 Reorder the terms: (3 + m)(2m + -5) = 2m2 + 4m + -3 Reorder the terms: (3 + m)(-5 + 2m) = 2m2 + 4m + -3 Multiply (3 + m) * (-5 + 2m) (3(-5 + 2m) + m(-5 + 2m)) = 2m2 + 4m + -3 ((-5 * 3 + 2m * 3) + m(-5 + 2m)) = 2m2 + 4m + -3 ((-15 + 6m) + m(-5 + 2m)) = 2m2 + 4m + -3 (-15 + 6m + (-5 * m + 2m * m)) = 2m2 + 4m + -3 (-15 + 6m + (-5m + 2m2)) = 2m2 + 4m + -3 Combine like terms: 6m + -5m = 1m (-15 + 1m + 2m2) = 2m2 + 4m + -3 Reorder the terms: -15 + 1m + 2m2 = -3 + 4m + 2m2 Add '-2m2' to each side of the equation. -15 + 1m + 2m2 + -2m2 = -3 + 4m + 2m2 + -2m2 Combine like terms: 2m2 + -2m2 = 0 -15 + 1m + 0 = -3 + 4m + 2m2 + -2m2 -15 + 1m = -3 + 4m + 2m2 + -2m2 Combine like terms: 2m2 + -2m2 = 0 -15 + 1m = -3 + 4m + 0 -15 + 1m = -3 + 4m Solving -15 + 1m = -3 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -15 + 1m + -4m = -3 + 4m + -4m Combine like terms: 1m + -4m = -3m -15 + -3m = -3 + 4m + -4m Combine like terms: 4m + -4m = 0 -15 + -3m = -3 + 0 -15 + -3m = -3 Add '15' to each side of the equation. -15 + 15 + -3m = -3 + 15 Combine like terms: -15 + 15 = 0 0 + -3m = -3 + 15 -3m = -3 + 15 Combine like terms: -3 + 15 = 12 -3m = 12 Divide each side by '-3'. m = -4 Simplifying m = -4
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