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Simplifying 2(7c + 1) + -47 = 8c + 3 Reorder the terms: 2(1 + 7c) + -47 = 8c + 3 (1 * 2 + 7c * 2) + -47 = 8c + 3 (2 + 14c) + -47 = 8c + 3 Reorder the terms: 2 + -47 + 14c = 8c + 3 Combine like terms: 2 + -47 = -45 -45 + 14c = 8c + 3 Reorder the terms: -45 + 14c = 3 + 8c Solving -45 + 14c = 3 + 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. -45 + 14c + -8c = 3 + 8c + -8c Combine like terms: 14c + -8c = 6c -45 + 6c = 3 + 8c + -8c Combine like terms: 8c + -8c = 0 -45 + 6c = 3 + 0 -45 + 6c = 3 Add '45' to each side of the equation. -45 + 45 + 6c = 3 + 45 Combine like terms: -45 + 45 = 0 0 + 6c = 3 + 45 6c = 3 + 45 Combine like terms: 3 + 45 = 48 6c = 48 Divide each side by '6'. c = 8 Simplifying c = 8
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