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Simplifying 4(4c + 2d + 3) + 5(7c + 4) = 0 Reorder the terms: 4(3 + 4c + 2d) + 5(7c + 4) = 0 (3 * 4 + 4c * 4 + 2d * 4) + 5(7c + 4) = 0 (12 + 16c + 8d) + 5(7c + 4) = 0 Reorder the terms: 12 + 16c + 8d + 5(4 + 7c) = 0 12 + 16c + 8d + (4 * 5 + 7c * 5) = 0 12 + 16c + 8d + (20 + 35c) = 0 Reorder the terms: 12 + 20 + 16c + 35c + 8d = 0 Combine like terms: 12 + 20 = 32 32 + 16c + 35c + 8d = 0 Combine like terms: 16c + 35c = 51c 32 + 51c + 8d = 0 Solving 32 + 51c + 8d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + 51c + -32 + 8d = 0 + -32 Reorder the terms: 32 + -32 + 51c + 8d = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 51c + 8d = 0 + -32 51c + 8d = 0 + -32 Combine like terms: 0 + -32 = -32 51c + 8d = -32 Add '-8d' to each side of the equation. 51c + 8d + -8d = -32 + -8d Combine like terms: 8d + -8d = 0 51c + 0 = -32 + -8d 51c = -32 + -8d Divide each side by '51'. c = -0.6274509804 + -0.1568627451d Simplifying c = -0.6274509804 + -0.1568627451d
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