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Simplifying 4c + -21 = 8c + -69 Reorder the terms: -21 + 4c = 8c + -69 Reorder the terms: -21 + 4c = -69 + 8c Solving -21 + 4c = -69 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -21 + 4c + -8c = -69 + 8c + -8c Combine like terms: 4c + -8c = -4c -21 + -4c = -69 + 8c + -8c Combine like terms: 8c + -8c = 0 -21 + -4c = -69 + 0 -21 + -4c = -69 Add '21' to each side of the equation. -21 + 21 + -4c = -69 + 21 Combine like terms: -21 + 21 = 0 0 + -4c = -69 + 21 -4c = -69 + 21 Combine like terms: -69 + 21 = -48 -4c = -48 Divide each side by '-4'. c = 12 Simplifying c = 12
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