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Simplifying c + 8 = 2(c + 2) Reorder the terms: 8 + c = 2(c + 2) Reorder the terms: 8 + c = 2(2 + c) 8 + c = (2 * 2 + c * 2) 8 + c = (4 + 2c) Solving 8 + c = 4 + 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. 8 + c + -2c = 4 + 2c + -2c Combine like terms: c + -2c = -1c 8 + -1c = 4 + 2c + -2c Combine like terms: 2c + -2c = 0 8 + -1c = 4 + 0 8 + -1c = 4 Add '-8' to each side of the equation. 8 + -8 + -1c = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -1c = 4 + -8 -1c = 4 + -8 Combine like terms: 4 + -8 = -4 -1c = -4 Divide each side by '-1'. c = 4 Simplifying c = 4
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