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Simplifying 7(6c + -1) + -2 = 40c + 7 Reorder the terms: 7(-1 + 6c) + -2 = 40c + 7 (-1 * 7 + 6c * 7) + -2 = 40c + 7 (-7 + 42c) + -2 = 40c + 7 Reorder the terms: -7 + -2 + 42c = 40c + 7 Combine like terms: -7 + -2 = -9 -9 + 42c = 40c + 7 Reorder the terms: -9 + 42c = 7 + 40c Solving -9 + 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. -9 + 42c + -40c = 7 + 40c + -40c Combine like terms: 42c + -40c = 2c -9 + 2c = 7 + 40c + -40c Combine like terms: 40c + -40c = 0 -9 + 2c = 7 + 0 -9 + 2c = 7 Add '9' to each side of the equation. -9 + 9 + 2c = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 2c = 7 + 9 2c = 7 + 9 Combine like terms: 7 + 9 = 16 2c = 16 Divide each side by '2'. c = 8 Simplifying c = 8
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