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Simplifying 5(c + -5d) + -8(5c + -3d) + d = 0 (c * 5 + -5d * 5) + -8(5c + -3d) + d = 0 (5c + -25d) + -8(5c + -3d) + d = 0 5c + -25d + (5c * -8 + -3d * -8) + d = 0 5c + -25d + (-40c + 24d) + d = 0 Reorder the terms: 5c + -40c + -25d + 24d + d = 0 Combine like terms: 5c + -40c = -35c -35c + -25d + 24d + d = 0 Combine like terms: -25d + 24d = -1d -35c + -1d + d = 0 Combine like terms: -1d + d = 0 -35c + 0 = 0 -35c = 0 Solving -35c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Divide each side by '-35'. c = 0 Simplifying c = 0
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