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Simplifying 16 = 2(c + 16) Reorder the terms: 16 = 2(16 + c) 16 = (16 * 2 + c * 2) 16 = (32 + 2c) Solving 16 = 32 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 16 + -2c = 32 + 2c + -2c Combine like terms: 2c + -2c = 0 16 + -2c = 32 + 0 16 + -2c = 32 Add '-16' to each side of the equation. 16 + -16 + -2c = 32 + -16 Combine like terms: 16 + -16 = 0 0 + -2c = 32 + -16 -2c = 32 + -16 Combine like terms: 32 + -16 = 16 -2c = 16 Divide each side by '-2'. c = -8 Simplifying c = -8
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