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Simplifying (m + 3)(2m + -5) = 2(m2 + -9) Reorder the terms: (3 + m)(2m + -5) = 2(m2 + -9) Reorder the terms: (3 + m)(-5 + 2m) = 2(m2 + -9) Multiply (3 + m) * (-5 + 2m) (3(-5 + 2m) + m(-5 + 2m)) = 2(m2 + -9) ((-5 * 3 + 2m * 3) + m(-5 + 2m)) = 2(m2 + -9) ((-15 + 6m) + m(-5 + 2m)) = 2(m2 + -9) (-15 + 6m + (-5 * m + 2m * m)) = 2(m2 + -9) (-15 + 6m + (-5m + 2m2)) = 2(m2 + -9) Combine like terms: 6m + -5m = 1m (-15 + 1m + 2m2) = 2(m2 + -9) Reorder the terms: -15 + 1m + 2m2 = 2(-9 + m2) -15 + 1m + 2m2 = (-9 * 2 + m2 * 2) -15 + 1m + 2m2 = (-18 + 2m2) Add '-2m2' to each side of the equation. -15 + 1m + 2m2 + -2m2 = -18 + 2m2 + -2m2 Combine like terms: 2m2 + -2m2 = 0 -15 + 1m + 0 = -18 + 2m2 + -2m2 -15 + 1m = -18 + 2m2 + -2m2 Combine like terms: 2m2 + -2m2 = 0 -15 + 1m = -18 + 0 -15 + 1m = -18 Solving -15 + 1m = -18 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1m = -18 + 15 Combine like terms: -15 + 15 = 0 0 + 1m = -18 + 15 1m = -18 + 15 Combine like terms: -18 + 15 = -3 1m = -3 Divide each side by '1'. m = -3 Simplifying m = -3
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