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Simplifying -5(c + -3) = -1(c + 1) + -6c Reorder the terms: -5(-3 + c) = -1(c + 1) + -6c (-3 * -5 + c * -5) = -1(c + 1) + -6c (15 + -5c) = -1(c + 1) + -6c Reorder the terms: 15 + -5c = -1(1 + c) + -6c 15 + -5c = (1 * -1 + c * -1) + -6c 15 + -5c = (-1 + -1c) + -6c Combine like terms: -1c + -6c = -7c 15 + -5c = -1 + -7c Solving 15 + -5c = -1 + -7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '7c' to each side of the equation. 15 + -5c + 7c = -1 + -7c + 7c Combine like terms: -5c + 7c = 2c 15 + 2c = -1 + -7c + 7c Combine like terms: -7c + 7c = 0 15 + 2c = -1 + 0 15 + 2c = -1 Add '-15' to each side of the equation. 15 + -15 + 2c = -1 + -15 Combine like terms: 15 + -15 = 0 0 + 2c = -1 + -15 2c = -1 + -15 Combine like terms: -1 + -15 = -16 2c = -16 Divide each side by '2'. c = -8 Simplifying c = -8
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