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Simplifying 8(7c + -1) + -18 = 54c + 8 Reorder the terms: 8(-1 + 7c) + -18 = 54c + 8 (-1 * 8 + 7c * 8) + -18 = 54c + 8 (-8 + 56c) + -18 = 54c + 8 Reorder the terms: -8 + -18 + 56c = 54c + 8 Combine like terms: -8 + -18 = -26 -26 + 56c = 54c + 8 Reorder the terms: -26 + 56c = 8 + 54c Solving -26 + 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. -26 + 56c + -54c = 8 + 54c + -54c Combine like terms: 56c + -54c = 2c -26 + 2c = 8 + 54c + -54c Combine like terms: 54c + -54c = 0 -26 + 2c = 8 + 0 -26 + 2c = 8 Add '26' to each side of the equation. -26 + 26 + 2c = 8 + 26 Combine like terms: -26 + 26 = 0 0 + 2c = 8 + 26 2c = 8 + 26 Combine like terms: 8 + 26 = 34 2c = 34 Divide each side by '2'. c = 17 Simplifying c = 17
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