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Simplifying -8c + -7 = 21 + -12c Reorder the terms: -7 + -8c = 21 + -12c Solving -7 + -8c = 21 + -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. -7 + -8c + 12c = 21 + -12c + 12c Combine like terms: -8c + 12c = 4c -7 + 4c = 21 + -12c + 12c Combine like terms: -12c + 12c = 0 -7 + 4c = 21 + 0 -7 + 4c = 21 Add '7' to each side of the equation. -7 + 7 + 4c = 21 + 7 Combine like terms: -7 + 7 = 0 0 + 4c = 21 + 7 4c = 21 + 7 Combine like terms: 21 + 7 = 28 4c = 28 Divide each side by '4'. c = 7 Simplifying c = 7
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