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Simplifying 8(7c + -1) + -14 = 54c + 8 Reorder the terms: 8(-1 + 7c) + -14 = 54c + 8 (-1 * 8 + 7c * 8) + -14 = 54c + 8 (-8 + 56c) + -14 = 54c + 8 Reorder the terms: -8 + -14 + 56c = 54c + 8 Combine like terms: -8 + -14 = -22 -22 + 56c = 54c + 8 Reorder the terms: -22 + 56c = 8 + 54c Solving -22 + 56c = 8 + 54c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-54c' to each side of the equation. -22 + 56c + -54c = 8 + 54c + -54c Combine like terms: 56c + -54c = 2c -22 + 2c = 8 + 54c + -54c Combine like terms: 54c + -54c = 0 -22 + 2c = 8 + 0 -22 + 2c = 8 Add '22' to each side of the equation. -22 + 22 + 2c = 8 + 22 Combine like terms: -22 + 22 = 0 0 + 2c = 8 + 22 2c = 8 + 22 Combine like terms: 8 + 22 = 30 2c = 30 Divide each side by '2'. c = 15 Simplifying c = 15
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