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Simplifying 3(7c + 1) + -63 = 14c + 3 Reorder the terms: 3(1 + 7c) + -63 = 14c + 3 (1 * 3 + 7c * 3) + -63 = 14c + 3 (3 + 21c) + -63 = 14c + 3 Reorder the terms: 3 + -63 + 21c = 14c + 3 Combine like terms: 3 + -63 = -60 -60 + 21c = 14c + 3 Reorder the terms: -60 + 21c = 3 + 14c Solving -60 + 21c = 3 + 14c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-14c' to each side of the equation. -60 + 21c + -14c = 3 + 14c + -14c Combine like terms: 21c + -14c = 7c -60 + 7c = 3 + 14c + -14c Combine like terms: 14c + -14c = 0 -60 + 7c = 3 + 0 -60 + 7c = 3 Add '60' to each side of the equation. -60 + 60 + 7c = 3 + 60 Combine like terms: -60 + 60 = 0 0 + 7c = 3 + 60 7c = 3 + 60 Combine like terms: 3 + 60 = 63 7c = 63 Divide each side by '7'. c = 9 Simplifying c = 9
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