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Simplifying (9d + 12c + 4) + (3d + -8c + -5) = 0 Reorder the terms: (4 + 12c + 9d) + (3d + -8c + -5) = 0 Remove parenthesis around (4 + 12c + 9d) 4 + 12c + 9d + (3d + -8c + -5) = 0 Reorder the terms: 4 + 12c + 9d + (-5 + -8c + 3d) = 0 Remove parenthesis around (-5 + -8c + 3d) 4 + 12c + 9d + -5 + -8c + 3d = 0 Reorder the terms: 4 + -5 + 12c + -8c + 9d + 3d = 0 Combine like terms: 4 + -5 = -1 -1 + 12c + -8c + 9d + 3d = 0 Combine like terms: 12c + -8c = 4c -1 + 4c + 9d + 3d = 0 Combine like terms: 9d + 3d = 12d -1 + 4c + 12d = 0 Solving -1 + 4c + 12d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 4c + 1 + 12d = 0 + 1 Reorder the terms: -1 + 1 + 4c + 12d = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4c + 12d = 0 + 1 4c + 12d = 0 + 1 Combine like terms: 0 + 1 = 1 4c + 12d = 1 Add '-12d' to each side of the equation. 4c + 12d + -12d = 1 + -12d Combine like terms: 12d + -12d = 0 4c + 0 = 1 + -12d 4c = 1 + -12d Divide each side by '4'. c = 0.25 + -3d Simplifying c = 0.25 + -3d
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