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Simplifying 4(5c + -1) + -8 = 18c + 4 Reorder the terms: 4(-1 + 5c) + -8 = 18c + 4 (-1 * 4 + 5c * 4) + -8 = 18c + 4 (-4 + 20c) + -8 = 18c + 4 Reorder the terms: -4 + -8 + 20c = 18c + 4 Combine like terms: -4 + -8 = -12 -12 + 20c = 18c + 4 Reorder the terms: -12 + 20c = 4 + 18c Solving -12 + 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. -12 + 20c + -18c = 4 + 18c + -18c Combine like terms: 20c + -18c = 2c -12 + 2c = 4 + 18c + -18c Combine like terms: 18c + -18c = 0 -12 + 2c = 4 + 0 -12 + 2c = 4 Add '12' to each side of the equation. -12 + 12 + 2c = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 2c = 4 + 12 2c = 4 + 12 Combine like terms: 4 + 12 = 16 2c = 16 Divide each side by '2'. c = 8 Simplifying c = 8
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