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Simplifying 4(4c + -1) + -5 = 14c + 7 Reorder the terms: 4(-1 + 4c) + -5 = 14c + 7 (-1 * 4 + 4c * 4) + -5 = 14c + 7 (-4 + 16c) + -5 = 14c + 7 Reorder the terms: -4 + -5 + 16c = 14c + 7 Combine like terms: -4 + -5 = -9 -9 + 16c = 14c + 7 Reorder the terms: -9 + 16c = 7 + 14c Solving -9 + 16c = 7 + 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. -9 + 16c + -14c = 7 + 14c + -14c Combine like terms: 16c + -14c = 2c -9 + 2c = 7 + 14c + -14c Combine like terms: 14c + -14c = 0 -9 + 2c = 7 + 0 -9 + 2c = 7 Add '9' to each side of the equation. -9 + 9 + 2c = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 2c = 7 + 9 2c = 7 + 9 Combine like terms: 7 + 9 = 16 2c = 16 Divide each side by '2'. c = 8 Simplifying c = 8
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