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Simplifying 7(7c + -1) + -8 = 47c + 7 Reorder the terms: 7(-1 + 7c) + -8 = 47c + 7 (-1 * 7 + 7c * 7) + -8 = 47c + 7 (-7 + 49c) + -8 = 47c + 7 Reorder the terms: -7 + -8 + 49c = 47c + 7 Combine like terms: -7 + -8 = -15 -15 + 49c = 47c + 7 Reorder the terms: -15 + 49c = 7 + 47c Solving -15 + 49c = 7 + 47c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-47c' to each side of the equation. -15 + 49c + -47c = 7 + 47c + -47c Combine like terms: 49c + -47c = 2c -15 + 2c = 7 + 47c + -47c Combine like terms: 47c + -47c = 0 -15 + 2c = 7 + 0 -15 + 2c = 7 Add '15' to each side of the equation. -15 + 15 + 2c = 7 + 15 Combine like terms: -15 + 15 = 0 0 + 2c = 7 + 15 2c = 7 + 15 Combine like terms: 7 + 15 = 22 2c = 22 Divide each side by '2'. c = 11 Simplifying c = 11
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