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Simplifying -3c + -1(-3d + -5) + (7c + 8) = 0 Reorder the terms: -3c + -1(-5 + -3d) + (7c + 8) = 0 -3c + (-5 * -1 + -3d * -1) + (7c + 8) = 0 -3c + (5 + 3d) + (7c + 8) = 0 Reorder the terms: -3c + 5 + 3d + (8 + 7c) = 0 Remove parenthesis around (8 + 7c) -3c + 5 + 3d + 8 + 7c = 0 Reorder the terms: 5 + 8 + -3c + 7c + 3d = 0 Combine like terms: 5 + 8 = 13 13 + -3c + 7c + 3d = 0 Combine like terms: -3c + 7c = 4c 13 + 4c + 3d = 0 Solving 13 + 4c + 3d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + 4c + -13 + 3d = 0 + -13 Reorder the terms: 13 + -13 + 4c + 3d = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 4c + 3d = 0 + -13 4c + 3d = 0 + -13 Combine like terms: 0 + -13 = -13 4c + 3d = -13 Add '-3d' to each side of the equation. 4c + 3d + -3d = -13 + -3d Combine like terms: 3d + -3d = 0 4c + 0 = -13 + -3d 4c = -13 + -3d Divide each side by '4'. c = -3.25 + -0.75d Simplifying c = -3.25 + -0.75d
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