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Simplifying 10 = 2(c + 8) Reorder the terms: 10 = 2(8 + c) 10 = (8 * 2 + c * 2) 10 = (16 + 2c) Solving 10 = 16 + 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. 10 + -2c = 16 + 2c + -2c Combine like terms: 2c + -2c = 0 10 + -2c = 16 + 0 10 + -2c = 16 Add '-10' to each side of the equation. 10 + -10 + -2c = 16 + -10 Combine like terms: 10 + -10 = 0 0 + -2c = 16 + -10 -2c = 16 + -10 Combine like terms: 16 + -10 = 6 -2c = 6 Divide each side by '-2'. c = -3 Simplifying c = -3
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