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Simplifying -7(5c + 18) = 14 + -15c Reorder the terms: -7(18 + 5c) = 14 + -15c (18 * -7 + 5c * -7) = 14 + -15c (-126 + -35c) = 14 + -15c Solving -126 + -35c = 14 + -15c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '15c' to each side of the equation. -126 + -35c + 15c = 14 + -15c + 15c Combine like terms: -35c + 15c = -20c -126 + -20c = 14 + -15c + 15c Combine like terms: -15c + 15c = 0 -126 + -20c = 14 + 0 -126 + -20c = 14 Add '126' to each side of the equation. -126 + 126 + -20c = 14 + 126 Combine like terms: -126 + 126 = 0 0 + -20c = 14 + 126 -20c = 14 + 126 Combine like terms: 14 + 126 = 140 -20c = 140 Divide each side by '-20'. c = -7 Simplifying c = -7
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