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Simplifying 8(7c + -1) + -10 = 54c + 8 Reorder the terms: 8(-1 + 7c) + -10 = 54c + 8 (-1 * 8 + 7c * 8) + -10 = 54c + 8 (-8 + 56c) + -10 = 54c + 8 Reorder the terms: -8 + -10 + 56c = 54c + 8 Combine like terms: -8 + -10 = -18 -18 + 56c = 54c + 8 Reorder the terms: -18 + 56c = 8 + 54c Solving -18 + 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. -18 + 56c + -54c = 8 + 54c + -54c Combine like terms: 56c + -54c = 2c -18 + 2c = 8 + 54c + -54c Combine like terms: 54c + -54c = 0 -18 + 2c = 8 + 0 -18 + 2c = 8 Add '18' to each side of the equation. -18 + 18 + 2c = 8 + 18 Combine like terms: -18 + 18 = 0 0 + 2c = 8 + 18 2c = 8 + 18 Combine like terms: 8 + 18 = 26 2c = 26 Divide each side by '2'. c = 13 Simplifying c = 13
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