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Simplifying 2(5c + 1) + -33 = 3c + 4 Reorder the terms: 2(1 + 5c) + -33 = 3c + 4 (1 * 2 + 5c * 2) + -33 = 3c + 4 (2 + 10c) + -33 = 3c + 4 Reorder the terms: 2 + -33 + 10c = 3c + 4 Combine like terms: 2 + -33 = -31 -31 + 10c = 3c + 4 Reorder the terms: -31 + 10c = 4 + 3c Solving -31 + 10c = 4 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -31 + 10c + -3c = 4 + 3c + -3c Combine like terms: 10c + -3c = 7c -31 + 7c = 4 + 3c + -3c Combine like terms: 3c + -3c = 0 -31 + 7c = 4 + 0 -31 + 7c = 4 Add '31' to each side of the equation. -31 + 31 + 7c = 4 + 31 Combine like terms: -31 + 31 = 0 0 + 7c = 4 + 31 7c = 4 + 31 Combine like terms: 4 + 31 = 35 7c = 35 Divide each side by '7'. c = 5 Simplifying c = 5
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