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Simplifying -4(2c + 5) + -4(2c + -5) = 32 Reorder the terms: -4(5 + 2c) + -4(2c + -5) = 32 (5 * -4 + 2c * -4) + -4(2c + -5) = 32 (-20 + -8c) + -4(2c + -5) = 32 Reorder the terms: -20 + -8c + -4(-5 + 2c) = 32 -20 + -8c + (-5 * -4 + 2c * -4) = 32 -20 + -8c + (20 + -8c) = 32 Reorder the terms: -20 + 20 + -8c + -8c = 32 Combine like terms: -20 + 20 = 0 0 + -8c + -8c = 32 -8c + -8c = 32 Combine like terms: -8c + -8c = -16c -16c = 32 Solving -16c = 32 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Divide each side by '-16'. c = -2 Simplifying c = -2
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