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Simplifying 2(7c + 1) + -60 = 7c + 5 Reorder the terms: 2(1 + 7c) + -60 = 7c + 5 (1 * 2 + 7c * 2) + -60 = 7c + 5 (2 + 14c) + -60 = 7c + 5 Reorder the terms: 2 + -60 + 14c = 7c + 5 Combine like terms: 2 + -60 = -58 -58 + 14c = 7c + 5 Reorder the terms: -58 + 14c = 5 + 7c Solving -58 + 14c = 5 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -58 + 14c + -7c = 5 + 7c + -7c Combine like terms: 14c + -7c = 7c -58 + 7c = 5 + 7c + -7c Combine like terms: 7c + -7c = 0 -58 + 7c = 5 + 0 -58 + 7c = 5 Add '58' to each side of the equation. -58 + 58 + 7c = 5 + 58 Combine like terms: -58 + 58 = 0 0 + 7c = 5 + 58 7c = 5 + 58 Combine like terms: 5 + 58 = 63 7c = 63 Divide each side by '7'. c = 9 Simplifying c = 9
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