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Simplifying 3(5c + 1) + -39 = 10c + 4 Reorder the terms: 3(1 + 5c) + -39 = 10c + 4 (1 * 3 + 5c * 3) + -39 = 10c + 4 (3 + 15c) + -39 = 10c + 4 Reorder the terms: 3 + -39 + 15c = 10c + 4 Combine like terms: 3 + -39 = -36 -36 + 15c = 10c + 4 Reorder the terms: -36 + 15c = 4 + 10c Solving -36 + 15c = 4 + 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. -36 + 15c + -10c = 4 + 10c + -10c Combine like terms: 15c + -10c = 5c -36 + 5c = 4 + 10c + -10c Combine like terms: 10c + -10c = 0 -36 + 5c = 4 + 0 -36 + 5c = 4 Add '36' to each side of the equation. -36 + 36 + 5c = 4 + 36 Combine like terms: -36 + 36 = 0 0 + 5c = 4 + 36 5c = 4 + 36 Combine like terms: 4 + 36 = 40 5c = 40 Divide each side by '5'. c = 8 Simplifying c = 8
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