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Simplifying 5(4c + -1) + -4 = 18c + 7 Reorder the terms: 5(-1 + 4c) + -4 = 18c + 7 (-1 * 5 + 4c * 5) + -4 = 18c + 7 (-5 + 20c) + -4 = 18c + 7 Reorder the terms: -5 + -4 + 20c = 18c + 7 Combine like terms: -5 + -4 = -9 -9 + 20c = 18c + 7 Reorder the terms: -9 + 20c = 7 + 18c Solving -9 + 20c = 7 + 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. -9 + 20c + -18c = 7 + 18c + -18c Combine like terms: 20c + -18c = 2c -9 + 2c = 7 + 18c + -18c Combine like terms: 18c + -18c = 0 -9 + 2c = 7 + 0 -9 + 2c = 7 Add '9' to each side of the equation. -9 + 9 + 2c = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 2c = 7 + 9 2c = 7 + 9 Combine like terms: 7 + 9 = 16 2c = 16 Divide each side by '2'. c = 8 Simplifying c = 8
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