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Simplifying (5 + 4c) + (9 + 2d) = 0 Remove parenthesis around (5 + 4c) 5 + 4c + (9 + 2d) = 0 Remove parenthesis around (9 + 2d) 5 + 4c + 9 + 2d = 0 Reorder the terms: 5 + 9 + 4c + 2d = 0 Combine like terms: 5 + 9 = 14 14 + 4c + 2d = 0 Solving 14 + 4c + 2d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 4c + -14 + 2d = 0 + -14 Reorder the terms: 14 + -14 + 4c + 2d = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 4c + 2d = 0 + -14 4c + 2d = 0 + -14 Combine like terms: 0 + -14 = -14 4c + 2d = -14 Add '-2d' to each side of the equation. 4c + 2d + -2d = -14 + -2d Combine like terms: 2d + -2d = 0 4c + 0 = -14 + -2d 4c = -14 + -2d Divide each side by '4'. c = -3.5 + -0.5d Simplifying c = -3.5 + -0.5d
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