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Simplifying -8c + 12d + -13 + 5c + -2 = 0 Reorder the terms: -13 + -2 + -8c + 5c + 12d = 0 Combine like terms: -13 + -2 = -15 -15 + -8c + 5c + 12d = 0 Combine like terms: -8c + 5c = -3c -15 + -3c + 12d = 0 Solving -15 + -3c + 12d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '15' to each side of the equation. -15 + -3c + 15 + 12d = 0 + 15 Reorder the terms: -15 + 15 + -3c + 12d = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -3c + 12d = 0 + 15 -3c + 12d = 0 + 15 Combine like terms: 0 + 15 = 15 -3c + 12d = 15 Add '-12d' to each side of the equation. -3c + 12d + -12d = 15 + -12d Combine like terms: 12d + -12d = 0 -3c + 0 = 15 + -12d -3c = 15 + -12d Divide each side by '-3'. c = -5 + 4d Simplifying c = -5 + 4d
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