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Simplifying 4(5c + -1) + -6 = 18c + 2 Reorder the terms: 4(-1 + 5c) + -6 = 18c + 2 (-1 * 4 + 5c * 4) + -6 = 18c + 2 (-4 + 20c) + -6 = 18c + 2 Reorder the terms: -4 + -6 + 20c = 18c + 2 Combine like terms: -4 + -6 = -10 -10 + 20c = 18c + 2 Reorder the terms: -10 + 20c = 2 + 18c Solving -10 + 20c = 2 + 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. -10 + 20c + -18c = 2 + 18c + -18c Combine like terms: 20c + -18c = 2c -10 + 2c = 2 + 18c + -18c Combine like terms: 18c + -18c = 0 -10 + 2c = 2 + 0 -10 + 2c = 2 Add '10' to each side of the equation. -10 + 10 + 2c = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 2c = 2 + 10 2c = 2 + 10 Combine like terms: 2 + 10 = 12 2c = 12 Divide each side by '2'. c = 6 Simplifying c = 6
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