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Simplifying 4(5c + 2) + -12 = 18c + 4 Reorder the terms: 4(2 + 5c) + -12 = 18c + 4 (2 * 4 + 5c * 4) + -12 = 18c + 4 (8 + 20c) + -12 = 18c + 4 Reorder the terms: 8 + -12 + 20c = 18c + 4 Combine like terms: 8 + -12 = -4 -4 + 20c = 18c + 4 Reorder the terms: -4 + 20c = 4 + 18c Solving -4 + 20c = 4 + 18c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-18c' to each side of the equation. -4 + 20c + -18c = 4 + 18c + -18c Combine like terms: 20c + -18c = 2c -4 + 2c = 4 + 18c + -18c Combine like terms: 18c + -18c = 0 -4 + 2c = 4 + 0 -4 + 2c = 4 Add '4' to each side of the equation. -4 + 4 + 2c = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 2c = 4 + 4 2c = 4 + 4 Combine like terms: 4 + 4 = 8 2c = 8 Divide each side by '2'. c = 4 Simplifying c = 4
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