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Simplifying 3(6c + 1) + -24 = 15c + 3 Reorder the terms: 3(1 + 6c) + -24 = 15c + 3 (1 * 3 + 6c * 3) + -24 = 15c + 3 (3 + 18c) + -24 = 15c + 3 Reorder the terms: 3 + -24 + 18c = 15c + 3 Combine like terms: 3 + -24 = -21 -21 + 18c = 15c + 3 Reorder the terms: -21 + 18c = 3 + 15c Solving -21 + 18c = 3 + 15c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-15c' to each side of the equation. -21 + 18c + -15c = 3 + 15c + -15c Combine like terms: 18c + -15c = 3c -21 + 3c = 3 + 15c + -15c Combine like terms: 15c + -15c = 0 -21 + 3c = 3 + 0 -21 + 3c = 3 Add '21' to each side of the equation. -21 + 21 + 3c = 3 + 21 Combine like terms: -21 + 21 = 0 0 + 3c = 3 + 21 3c = 3 + 21 Combine like terms: 3 + 21 = 24 3c = 24 Divide each side by '3'. c = 8 Simplifying c = 8
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