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Simplifying 2(7c + 1) + -30 = 8c + 2 Reorder the terms: 2(1 + 7c) + -30 = 8c + 2 (1 * 2 + 7c * 2) + -30 = 8c + 2 (2 + 14c) + -30 = 8c + 2 Reorder the terms: 2 + -30 + 14c = 8c + 2 Combine like terms: 2 + -30 = -28 -28 + 14c = 8c + 2 Reorder the terms: -28 + 14c = 2 + 8c Solving -28 + 14c = 2 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -28 + 14c + -8c = 2 + 8c + -8c Combine like terms: 14c + -8c = 6c -28 + 6c = 2 + 8c + -8c Combine like terms: 8c + -8c = 0 -28 + 6c = 2 + 0 -28 + 6c = 2 Add '28' to each side of the equation. -28 + 28 + 6c = 2 + 28 Combine like terms: -28 + 28 = 0 0 + 6c = 2 + 28 6c = 2 + 28 Combine like terms: 2 + 28 = 30 6c = 30 Divide each side by '6'. c = 5 Simplifying c = 5
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