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Simplifying -10c + -1(2c + 5) + -1(-5c + -9) = 31 Reorder the terms: -10c + -1(5 + 2c) + -1(-5c + -9) = 31 -10c + (5 * -1 + 2c * -1) + -1(-5c + -9) = 31 -10c + (-5 + -2c) + -1(-5c + -9) = 31 Reorder the terms: -10c + -5 + -2c + -1(-9 + -5c) = 31 -10c + -5 + -2c + (-9 * -1 + -5c * -1) = 31 -10c + -5 + -2c + (9 + 5c) = 31 Reorder the terms: -5 + 9 + -10c + -2c + 5c = 31 Combine like terms: -5 + 9 = 4 4 + -10c + -2c + 5c = 31 Combine like terms: -10c + -2c = -12c 4 + -12c + 5c = 31 Combine like terms: -12c + 5c = -7c 4 + -7c = 31 Solving 4 + -7c = 31 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7c = 31 + -4 Combine like terms: 4 + -4 = 0 0 + -7c = 31 + -4 -7c = 31 + -4 Combine like terms: 31 + -4 = 27 -7c = 27 Divide each side by '-7'. c = -3.857142857 Simplifying c = -3.857142857
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