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Simplifying 7(6c + -1) + -12 = 40c + 7 Reorder the terms: 7(-1 + 6c) + -12 = 40c + 7 (-1 * 7 + 6c * 7) + -12 = 40c + 7 (-7 + 42c) + -12 = 40c + 7 Reorder the terms: -7 + -12 + 42c = 40c + 7 Combine like terms: -7 + -12 = -19 -19 + 42c = 40c + 7 Reorder the terms: -19 + 42c = 7 + 40c Solving -19 + 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. -19 + 42c + -40c = 7 + 40c + -40c Combine like terms: 42c + -40c = 2c -19 + 2c = 7 + 40c + -40c Combine like terms: 40c + -40c = 0 -19 + 2c = 7 + 0 -19 + 2c = 7 Add '19' to each side of the equation. -19 + 19 + 2c = 7 + 19 Combine like terms: -19 + 19 = 0 0 + 2c = 7 + 19 2c = 7 + 19 Combine like terms: 7 + 19 = 26 2c = 26 Divide each side by '2'. c = 13 Simplifying c = 13
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