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Simplifying 8(2c + -1) = 11c + 22 Reorder the terms: 8(-1 + 2c) = 11c + 22 (-1 * 8 + 2c * 8) = 11c + 22 (-8 + 16c) = 11c + 22 Reorder the terms: -8 + 16c = 22 + 11c Solving -8 + 16c = 22 + 11c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-11c' to each side of the equation. -8 + 16c + -11c = 22 + 11c + -11c Combine like terms: 16c + -11c = 5c -8 + 5c = 22 + 11c + -11c Combine like terms: 11c + -11c = 0 -8 + 5c = 22 + 0 -8 + 5c = 22 Add '8' to each side of the equation. -8 + 8 + 5c = 22 + 8 Combine like terms: -8 + 8 = 0 0 + 5c = 22 + 8 5c = 22 + 8 Combine like terms: 22 + 8 = 30 5c = 30 Divide each side by '5'. c = 6 Simplifying c = 6
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