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Simplifying 40 + -1d(4) + cd(3) = 0 Reorder the terms for easier multiplication: 40 + -1 * 4d + cd(3) = 0 Multiply -1 * 4 40 + -4d + cd(3) = 0 Reorder the terms for easier multiplication: 40 + -4d + 3cd = 0 Reorder the terms: 40 + 3cd + -4d = 0 Solving 40 + 3cd + -4d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + 3cd + -40 + -4d = 0 + -40 Reorder the terms: 40 + -40 + 3cd + -4d = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 3cd + -4d = 0 + -40 3cd + -4d = 0 + -40 Combine like terms: 0 + -40 = -40 3cd + -4d = -40 Add '4d' to each side of the equation. 3cd + -4d + 4d = -40 + 4d Combine like terms: -4d + 4d = 0 3cd + 0 = -40 + 4d 3cd = -40 + 4d Divide each side by '3d'. c = -13.33333333d-1 + 1.333333333 Simplifying c = -13.33333333d-1 + 1.333333333 Reorder the terms: c = 1.333333333 + -13.33333333d-1
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