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Simplifying 7(8c + -1) + -4 = 54c + 7 Reorder the terms: 7(-1 + 8c) + -4 = 54c + 7 (-1 * 7 + 8c * 7) + -4 = 54c + 7 (-7 + 56c) + -4 = 54c + 7 Reorder the terms: -7 + -4 + 56c = 54c + 7 Combine like terms: -7 + -4 = -11 -11 + 56c = 54c + 7 Reorder the terms: -11 + 56c = 7 + 54c Solving -11 + 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. -11 + 56c + -54c = 7 + 54c + -54c Combine like terms: 56c + -54c = 2c -11 + 2c = 7 + 54c + -54c Combine like terms: 54c + -54c = 0 -11 + 2c = 7 + 0 -11 + 2c = 7 Add '11' to each side of the equation. -11 + 11 + 2c = 7 + 11 Combine like terms: -11 + 11 = 0 0 + 2c = 7 + 11 2c = 7 + 11 Combine like terms: 7 + 11 = 18 2c = 18 Divide each side by '2'. c = 9 Simplifying c = 9
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