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Simplifying c + -823 = -23c + -7 Reorder the terms: -823 + c = -23c + -7 Reorder the terms: -823 + c = -7 + -23c Solving -823 + c = -7 + -23c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '23c' to each side of the equation. -823 + c + 23c = -7 + -23c + 23c Combine like terms: c + 23c = 24c -823 + 24c = -7 + -23c + 23c Combine like terms: -23c + 23c = 0 -823 + 24c = -7 + 0 -823 + 24c = -7 Add '823' to each side of the equation. -823 + 823 + 24c = -7 + 823 Combine like terms: -823 + 823 = 0 0 + 24c = -7 + 823 24c = -7 + 823 Combine like terms: -7 + 823 = 816 24c = 816 Divide each side by '24'. c = 34 Simplifying c = 34
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