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Simplifying L = (3m + 2)(m + -1) + 2m + -8 Reorder the terms: L = (2 + 3m)(m + -1) + 2m + -8 Reorder the terms: L = (2 + 3m)(-1 + m) + 2m + -8 Multiply (2 + 3m) * (-1 + m) L = (2(-1 + m) + 3m * (-1 + m)) + 2m + -8 L = ((-1 * 2 + m * 2) + 3m * (-1 + m)) + 2m + -8 L = ((-2 + 2m) + 3m * (-1 + m)) + 2m + -8 L = (-2 + 2m + (-1 * 3m + m * 3m)) + 2m + -8 L = (-2 + 2m + (-3m + 3m2)) + 2m + -8 Combine like terms: 2m + -3m = -1m L = (-2 + -1m + 3m2) + 2m + -8 Reorder the terms: L = -2 + -8 + -1m + 2m + 3m2 Combine like terms: -2 + -8 = -10 L = -10 + -1m + 2m + 3m2 Combine like terms: -1m + 2m = 1m L = -10 + 1m + 3m2 Solving L = -10 + 1m + 3m2 Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Simplifying L = -10 + 1m + 3m2
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