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Simplifying 16(c + 4 + 2d) = 0 Reorder the terms: 16(4 + c + 2d) = 0 (4 * 16 + c * 16 + 2d * 16) = 0 (64 + 16c + 32d) = 0 Solving 64 + 16c + 32d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + 16c + -64 + 32d = 0 + -64 Reorder the terms: 64 + -64 + 16c + 32d = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 16c + 32d = 0 + -64 16c + 32d = 0 + -64 Combine like terms: 0 + -64 = -64 16c + 32d = -64 Add '-32d' to each side of the equation. 16c + 32d + -32d = -64 + -32d Combine like terms: 32d + -32d = 0 16c + 0 = -64 + -32d 16c = -64 + -32d Divide each side by '16'. c = -4 + -2d Simplifying c = -4 + -2d
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