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Simplifying 5(4c + -1) + -2 = 18c + 5 Reorder the terms: 5(-1 + 4c) + -2 = 18c + 5 (-1 * 5 + 4c * 5) + -2 = 18c + 5 (-5 + 20c) + -2 = 18c + 5 Reorder the terms: -5 + -2 + 20c = 18c + 5 Combine like terms: -5 + -2 = -7 -7 + 20c = 18c + 5 Reorder the terms: -7 + 20c = 5 + 18c Solving -7 + 20c = 5 + 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. -7 + 20c + -18c = 5 + 18c + -18c Combine like terms: 20c + -18c = 2c -7 + 2c = 5 + 18c + -18c Combine like terms: 18c + -18c = 0 -7 + 2c = 5 + 0 -7 + 2c = 5 Add '7' to each side of the equation. -7 + 7 + 2c = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 2c = 5 + 7 2c = 5 + 7 Combine like terms: 5 + 7 = 12 2c = 12 Divide each side by '2'. c = 6 Simplifying c = 6
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