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Simplifying 2(6c + 7d + 2) = 26c + 4 Reorder the terms: 2(2 + 6c + 7d) = 26c + 4 (2 * 2 + 6c * 2 + 7d * 2) = 26c + 4 (4 + 12c + 14d) = 26c + 4 Reorder the terms: 4 + 12c + 14d = 4 + 26c Add '-4' to each side of the equation. 4 + 12c + -4 + 14d = 4 + -4 + 26c Reorder the terms: 4 + -4 + 12c + 14d = 4 + -4 + 26c Combine like terms: 4 + -4 = 0 0 + 12c + 14d = 4 + -4 + 26c 12c + 14d = 4 + -4 + 26c Combine like terms: 4 + -4 = 0 12c + 14d = 0 + 26c 12c + 14d = 26c Solving 12c + 14d = 26c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-26c' to each side of the equation. 12c + -26c + 14d = 26c + -26c Combine like terms: 12c + -26c = -14c -14c + 14d = 26c + -26c Combine like terms: 26c + -26c = 0 -14c + 14d = 0 Add '-14d' to each side of the equation. -14c + 14d + -14d = 0 + -14d Combine like terms: 14d + -14d = 0 -14c + 0 = 0 + -14d -14c = 0 + -14d Remove the zero: -14c = -14d Divide each side by '-14'. c = d Simplifying c = d
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