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Simplifying 7(8c + -1) + -10 = 54c + 7 Reorder the terms: 7(-1 + 8c) + -10 = 54c + 7 (-1 * 7 + 8c * 7) + -10 = 54c + 7 (-7 + 56c) + -10 = 54c + 7 Reorder the terms: -7 + -10 + 56c = 54c + 7 Combine like terms: -7 + -10 = -17 -17 + 56c = 54c + 7 Reorder the terms: -17 + 56c = 7 + 54c Solving -17 + 56c = 7 + 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. -17 + 56c + -54c = 7 + 54c + -54c Combine like terms: 56c + -54c = 2c -17 + 2c = 7 + 54c + -54c Combine like terms: 54c + -54c = 0 -17 + 2c = 7 + 0 -17 + 2c = 7 Add '17' to each side of the equation. -17 + 17 + 2c = 7 + 17 Combine like terms: -17 + 17 = 0 0 + 2c = 7 + 17 2c = 7 + 17 Combine like terms: 7 + 17 = 24 2c = 24 Divide each side by '2'. c = 12 Simplifying c = 12
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