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Simplifying -5c + 3d + -3c + 8 + -1d = 0 Reorder the terms: 8 + -5c + -3c + 3d + -1d = 0 Combine like terms: -5c + -3c = -8c 8 + -8c + 3d + -1d = 0 Combine like terms: 3d + -1d = 2d 8 + -8c + 2d = 0 Solving 8 + -8c + 2d = 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 + -8c + -8 + 2d = 0 + -8 Reorder the terms: 8 + -8 + -8c + 2d = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -8c + 2d = 0 + -8 -8c + 2d = 0 + -8 Combine like terms: 0 + -8 = -8 -8c + 2d = -8 Add '-2d' to each side of the equation. -8c + 2d + -2d = -8 + -2d Combine like terms: 2d + -2d = 0 -8c + 0 = -8 + -2d -8c = -8 + -2d Divide each side by '-8'. c = 1 + 0.25d Simplifying c = 1 + 0.25d
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