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Simplifying 9(7c + -1) + -8 = 61c + 9 Reorder the terms: 9(-1 + 7c) + -8 = 61c + 9 (-1 * 9 + 7c * 9) + -8 = 61c + 9 (-9 + 63c) + -8 = 61c + 9 Reorder the terms: -9 + -8 + 63c = 61c + 9 Combine like terms: -9 + -8 = -17 -17 + 63c = 61c + 9 Reorder the terms: -17 + 63c = 9 + 61c Solving -17 + 63c = 9 + 61c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-61c' to each side of the equation. -17 + 63c + -61c = 9 + 61c + -61c Combine like terms: 63c + -61c = 2c -17 + 2c = 9 + 61c + -61c Combine like terms: 61c + -61c = 0 -17 + 2c = 9 + 0 -17 + 2c = 9 Add '17' to each side of the equation. -17 + 17 + 2c = 9 + 17 Combine like terms: -17 + 17 = 0 0 + 2c = 9 + 17 2c = 9 + 17 Combine like terms: 9 + 17 = 26 2c = 26 Divide each side by '2'. c = 13 Simplifying c = 13
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