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Simplifying 1 + 5(4c + -7) = 18c Reorder the terms: 1 + 5(-7 + 4c) = 18c 1 + (-7 * 5 + 4c * 5) = 18c 1 + (-35 + 20c) = 18c Combine like terms: 1 + -35 = -34 -34 + 20c = 18c Solving -34 + 20c = 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. -34 + 20c + -18c = 18c + -18c Combine like terms: 20c + -18c = 2c -34 + 2c = 18c + -18c Combine like terms: 18c + -18c = 0 -34 + 2c = 0 Add '34' to each side of the equation. -34 + 34 + 2c = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 2c = 0 + 34 2c = 0 + 34 Combine like terms: 0 + 34 = 34 2c = 34 Divide each side by '2'. c = 17 Simplifying c = 17
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