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Simplifying 8c + -22 = 3(3c + 11) + -6c Reorder the terms: -22 + 8c = 3(3c + 11) + -6c Reorder the terms: -22 + 8c = 3(11 + 3c) + -6c -22 + 8c = (11 * 3 + 3c * 3) + -6c -22 + 8c = (33 + 9c) + -6c Combine like terms: 9c + -6c = 3c -22 + 8c = 33 + 3c Solving -22 + 8c = 33 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -22 + 8c + -3c = 33 + 3c + -3c Combine like terms: 8c + -3c = 5c -22 + 5c = 33 + 3c + -3c Combine like terms: 3c + -3c = 0 -22 + 5c = 33 + 0 -22 + 5c = 33 Add '22' to each side of the equation. -22 + 22 + 5c = 33 + 22 Combine like terms: -22 + 22 = 0 0 + 5c = 33 + 22 5c = 33 + 22 Combine like terms: 33 + 22 = 55 5c = 55 Divide each side by '5'. c = 11 Simplifying c = 11
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