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Simplifying 3(c + -4 + d + -7) + 9 = 0 Reorder the terms: 3(-4 + -7 + c + d) + 9 = 0 Combine like terms: -4 + -7 = -11 3(-11 + c + d) + 9 = 0 (-11 * 3 + c * 3 + d * 3) + 9 = 0 (-33 + 3c + 3d) + 9 = 0 Reorder the terms: -33 + 9 + 3c + 3d = 0 Combine like terms: -33 + 9 = -24 -24 + 3c + 3d = 0 Solving -24 + 3c + 3d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 3c + 24 + 3d = 0 + 24 Reorder the terms: -24 + 24 + 3c + 3d = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 3c + 3d = 0 + 24 3c + 3d = 0 + 24 Combine like terms: 0 + 24 = 24 3c + 3d = 24 Add '-3d' to each side of the equation. 3c + 3d + -3d = 24 + -3d Combine like terms: 3d + -3d = 0 3c + 0 = 24 + -3d 3c = 24 + -3d Divide each side by '3'. c = 8 + -1d Simplifying c = 8 + -1d
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