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Simplifying 3(5c + 1) + -17 = 12c + 4 Reorder the terms: 3(1 + 5c) + -17 = 12c + 4 (1 * 3 + 5c * 3) + -17 = 12c + 4 (3 + 15c) + -17 = 12c + 4 Reorder the terms: 3 + -17 + 15c = 12c + 4 Combine like terms: 3 + -17 = -14 -14 + 15c = 12c + 4 Reorder the terms: -14 + 15c = 4 + 12c Solving -14 + 15c = 4 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. -14 + 15c + -12c = 4 + 12c + -12c Combine like terms: 15c + -12c = 3c -14 + 3c = 4 + 12c + -12c Combine like terms: 12c + -12c = 0 -14 + 3c = 4 + 0 -14 + 3c = 4 Add '14' to each side of the equation. -14 + 14 + 3c = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 3c = 4 + 14 3c = 4 + 14 Combine like terms: 4 + 14 = 18 3c = 18 Divide each side by '3'. c = 6 Simplifying c = 6
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