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Simplifying 4(6c + 1) + -22 = 20c + 2 Reorder the terms: 4(1 + 6c) + -22 = 20c + 2 (1 * 4 + 6c * 4) + -22 = 20c + 2 (4 + 24c) + -22 = 20c + 2 Reorder the terms: 4 + -22 + 24c = 20c + 2 Combine like terms: 4 + -22 = -18 -18 + 24c = 20c + 2 Reorder the terms: -18 + 24c = 2 + 20c Solving -18 + 24c = 2 + 20c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-20c' to each side of the equation. -18 + 24c + -20c = 2 + 20c + -20c Combine like terms: 24c + -20c = 4c -18 + 4c = 2 + 20c + -20c Combine like terms: 20c + -20c = 0 -18 + 4c = 2 + 0 -18 + 4c = 2 Add '18' to each side of the equation. -18 + 18 + 4c = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 4c = 2 + 18 4c = 2 + 18 Combine like terms: 2 + 18 = 20 4c = 20 Divide each side by '4'. c = 5 Simplifying c = 5
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