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Simplifying 7(8c + -1) + -16 = 54c + 7 Reorder the terms: 7(-1 + 8c) + -16 = 54c + 7 (-1 * 7 + 8c * 7) + -16 = 54c + 7 (-7 + 56c) + -16 = 54c + 7 Reorder the terms: -7 + -16 + 56c = 54c + 7 Combine like terms: -7 + -16 = -23 -23 + 56c = 54c + 7 Reorder the terms: -23 + 56c = 7 + 54c Solving -23 + 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. -23 + 56c + -54c = 7 + 54c + -54c Combine like terms: 56c + -54c = 2c -23 + 2c = 7 + 54c + -54c Combine like terms: 54c + -54c = 0 -23 + 2c = 7 + 0 -23 + 2c = 7 Add '23' to each side of the equation. -23 + 23 + 2c = 7 + 23 Combine like terms: -23 + 23 = 0 0 + 2c = 7 + 23 2c = 7 + 23 Combine like terms: 7 + 23 = 30 2c = 30 Divide each side by '2'. c = 15 Simplifying c = 15
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