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Simplifying 3(5c + 1) + -38 = 10c + 5 Reorder the terms: 3(1 + 5c) + -38 = 10c + 5 (1 * 3 + 5c * 3) + -38 = 10c + 5 (3 + 15c) + -38 = 10c + 5 Reorder the terms: 3 + -38 + 15c = 10c + 5 Combine like terms: 3 + -38 = -35 -35 + 15c = 10c + 5 Reorder the terms: -35 + 15c = 5 + 10c Solving -35 + 15c = 5 + 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. -35 + 15c + -10c = 5 + 10c + -10c Combine like terms: 15c + -10c = 5c -35 + 5c = 5 + 10c + -10c Combine like terms: 10c + -10c = 0 -35 + 5c = 5 + 0 -35 + 5c = 5 Add '35' to each side of the equation. -35 + 35 + 5c = 5 + 35 Combine like terms: -35 + 35 = 0 0 + 5c = 5 + 35 5c = 5 + 35 Combine like terms: 5 + 35 = 40 5c = 40 Divide each side by '5'. c = 8 Simplifying c = 8
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