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Simplifying 7c + 23 = 4c + 8c + -22 Reorder the terms: 23 + 7c = 4c + 8c + -22 Reorder the terms: 23 + 7c = -22 + 4c + 8c Combine like terms: 4c + 8c = 12c 23 + 7c = -22 + 12c Solving 23 + 7c = -22 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. 23 + 7c + -12c = -22 + 12c + -12c Combine like terms: 7c + -12c = -5c 23 + -5c = -22 + 12c + -12c Combine like terms: 12c + -12c = 0 23 + -5c = -22 + 0 23 + -5c = -22 Add '-23' to each side of the equation. 23 + -23 + -5c = -22 + -23 Combine like terms: 23 + -23 = 0 0 + -5c = -22 + -23 -5c = -22 + -23 Combine like terms: -22 + -23 = -45 -5c = -45 Divide each side by '-5'. c = 9 Simplifying c = 9
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