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Simplifying (3d + 5) + (2c + 3) = 0 Reorder the terms: (5 + 3d) + (2c + 3) = 0 Remove parenthesis around (5 + 3d) 5 + 3d + (2c + 3) = 0 Reorder the terms: 5 + 3d + (3 + 2c) = 0 Remove parenthesis around (3 + 2c) 5 + 3d + 3 + 2c = 0 Reorder the terms: 5 + 3 + 2c + 3d = 0 Combine like terms: 5 + 3 = 8 8 + 2c + 3d = 0 Solving 8 + 2c + 3d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 2c + -8 + 3d = 0 + -8 Reorder the terms: 8 + -8 + 2c + 3d = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2c + 3d = 0 + -8 2c + 3d = 0 + -8 Combine like terms: 0 + -8 = -8 2c + 3d = -8 Add '-3d' to each side of the equation. 2c + 3d + -3d = -8 + -3d Combine like terms: 3d + -3d = 0 2c + 0 = -8 + -3d 2c = -8 + -3d Divide each side by '2'. c = -4 + -1.5d Simplifying c = -4 + -1.5d
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