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Simplifying 5c + -12c + -15 + -7 + 18c = 2 + -10 + 7c + 8c + -14 Reorder the terms: -15 + -7 + 5c + -12c + 18c = 2 + -10 + 7c + 8c + -14 Combine like terms: -15 + -7 = -22 -22 + 5c + -12c + 18c = 2 + -10 + 7c + 8c + -14 Combine like terms: 5c + -12c = -7c -22 + -7c + 18c = 2 + -10 + 7c + 8c + -14 Combine like terms: -7c + 18c = 11c -22 + 11c = 2 + -10 + 7c + 8c + -14 Reorder the terms: -22 + 11c = 2 + -10 + -14 + 7c + 8c Combine like terms: 2 + -10 = -8 -22 + 11c = -8 + -14 + 7c + 8c Combine like terms: -8 + -14 = -22 -22 + 11c = -22 + 7c + 8c Combine like terms: 7c + 8c = 15c -22 + 11c = -22 + 15c Add '22' to each side of the equation. -22 + 22 + 11c = -22 + 22 + 15c Combine like terms: -22 + 22 = 0 0 + 11c = -22 + 22 + 15c 11c = -22 + 22 + 15c Combine like terms: -22 + 22 = 0 11c = 0 + 15c 11c = 15c Solving 11c = 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. 11c + -15c = 15c + -15c Combine like terms: 11c + -15c = -4c -4c = 15c + -15c Combine like terms: 15c + -15c = 0 -4c = 0 Divide each side by '-4'. c = 0 Simplifying c = 0
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