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Simplifying 7(6c + -1) + -18 = 40c + 7 Reorder the terms: 7(-1 + 6c) + -18 = 40c + 7 (-1 * 7 + 6c * 7) + -18 = 40c + 7 (-7 + 42c) + -18 = 40c + 7 Reorder the terms: -7 + -18 + 42c = 40c + 7 Combine like terms: -7 + -18 = -25 -25 + 42c = 40c + 7 Reorder the terms: -25 + 42c = 7 + 40c Solving -25 + 42c = 7 + 40c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-40c' to each side of the equation. -25 + 42c + -40c = 7 + 40c + -40c Combine like terms: 42c + -40c = 2c -25 + 2c = 7 + 40c + -40c Combine like terms: 40c + -40c = 0 -25 + 2c = 7 + 0 -25 + 2c = 7 Add '25' to each side of the equation. -25 + 25 + 2c = 7 + 25 Combine like terms: -25 + 25 = 0 0 + 2c = 7 + 25 2c = 7 + 25 Combine like terms: 7 + 25 = 32 2c = 32 Divide each side by '2'. c = 16 Simplifying c = 16
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