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Simplifying 3(5c + 1) + -34 = 11c + 5 Reorder the terms: 3(1 + 5c) + -34 = 11c + 5 (1 * 3 + 5c * 3) + -34 = 11c + 5 (3 + 15c) + -34 = 11c + 5 Reorder the terms: 3 + -34 + 15c = 11c + 5 Combine like terms: 3 + -34 = -31 -31 + 15c = 11c + 5 Reorder the terms: -31 + 15c = 5 + 11c Solving -31 + 15c = 5 + 11c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-11c' to each side of the equation. -31 + 15c + -11c = 5 + 11c + -11c Combine like terms: 15c + -11c = 4c -31 + 4c = 5 + 11c + -11c Combine like terms: 11c + -11c = 0 -31 + 4c = 5 + 0 -31 + 4c = 5 Add '31' to each side of the equation. -31 + 31 + 4c = 5 + 31 Combine like terms: -31 + 31 = 0 0 + 4c = 5 + 31 4c = 5 + 31 Combine like terms: 5 + 31 = 36 4c = 36 Divide each side by '4'. c = 9 Simplifying c = 9
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