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Simplifying 14 + -1(2c + 5) = -7c + 29 Reorder the terms: 14 + -1(5 + 2c) = -7c + 29 14 + (5 * -1 + 2c * -1) = -7c + 29 14 + (-5 + -2c) = -7c + 29 Combine like terms: 14 + -5 = 9 9 + -2c = -7c + 29 Reorder the terms: 9 + -2c = 29 + -7c Solving 9 + -2c = 29 + -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. 9 + -2c + 7c = 29 + -7c + 7c Combine like terms: -2c + 7c = 5c 9 + 5c = 29 + -7c + 7c Combine like terms: -7c + 7c = 0 9 + 5c = 29 + 0 9 + 5c = 29 Add '-9' to each side of the equation. 9 + -9 + 5c = 29 + -9 Combine like terms: 9 + -9 = 0 0 + 5c = 29 + -9 5c = 29 + -9 Combine like terms: 29 + -9 = 20 5c = 20 Divide each side by '5'. c = 4 Simplifying c = 4
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