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Simplifying 6(c + 2d + 7) + 2(7c + -5) = 0 Reorder the terms: 6(7 + c + 2d) + 2(7c + -5) = 0 (7 * 6 + c * 6 + 2d * 6) + 2(7c + -5) = 0 (42 + 6c + 12d) + 2(7c + -5) = 0 Reorder the terms: 42 + 6c + 12d + 2(-5 + 7c) = 0 42 + 6c + 12d + (-5 * 2 + 7c * 2) = 0 42 + 6c + 12d + (-10 + 14c) = 0 Reorder the terms: 42 + -10 + 6c + 14c + 12d = 0 Combine like terms: 42 + -10 = 32 32 + 6c + 14c + 12d = 0 Combine like terms: 6c + 14c = 20c 32 + 20c + 12d = 0 Solving 32 + 20c + 12d = 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 + 20c + -32 + 12d = 0 + -32 Reorder the terms: 32 + -32 + 20c + 12d = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 20c + 12d = 0 + -32 20c + 12d = 0 + -32 Combine like terms: 0 + -32 = -32 20c + 12d = -32 Add '-12d' to each side of the equation. 20c + 12d + -12d = -32 + -12d Combine like terms: 12d + -12d = 0 20c + 0 = -32 + -12d 20c = -32 + -12d Divide each side by '20'. c = -1.6 + -0.6d Simplifying c = -1.6 + -0.6d
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