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Simplifying 7(9c + -1) + -8 = 61c + 7 Reorder the terms: 7(-1 + 9c) + -8 = 61c + 7 (-1 * 7 + 9c * 7) + -8 = 61c + 7 (-7 + 63c) + -8 = 61c + 7 Reorder the terms: -7 + -8 + 63c = 61c + 7 Combine like terms: -7 + -8 = -15 -15 + 63c = 61c + 7 Reorder the terms: -15 + 63c = 7 + 61c Solving -15 + 63c = 7 + 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. -15 + 63c + -61c = 7 + 61c + -61c Combine like terms: 63c + -61c = 2c -15 + 2c = 7 + 61c + -61c Combine like terms: 61c + -61c = 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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