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Simplifying 15c + -6 = 8c + 78 Reorder the terms: -6 + 15c = 8c + 78 Reorder the terms: -6 + 15c = 78 + 8c Solving -6 + 15c = 78 + 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. -6 + 15c + -8c = 78 + 8c + -8c Combine like terms: 15c + -8c = 7c -6 + 7c = 78 + 8c + -8c Combine like terms: 8c + -8c = 0 -6 + 7c = 78 + 0 -6 + 7c = 78 Add '6' to each side of the equation. -6 + 6 + 7c = 78 + 6 Combine like terms: -6 + 6 = 0 0 + 7c = 78 + 6 7c = 78 + 6 Combine like terms: 78 + 6 = 84 7c = 84 Divide each side by '7'. c = 12 Simplifying c = 12
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