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Simplifying 15c + -30 = 8c + 12 Reorder the terms: -30 + 15c = 8c + 12 Reorder the terms: -30 + 15c = 12 + 8c Solving -30 + 15c = 12 + 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. -30 + 15c + -8c = 12 + 8c + -8c Combine like terms: 15c + -8c = 7c -30 + 7c = 12 + 8c + -8c Combine like terms: 8c + -8c = 0 -30 + 7c = 12 + 0 -30 + 7c = 12 Add '30' to each side of the equation. -30 + 30 + 7c = 12 + 30 Combine like terms: -30 + 30 = 0 0 + 7c = 12 + 30 7c = 12 + 30 Combine like terms: 12 + 30 = 42 7c = 42 Divide each side by '7'. c = 6 Simplifying c = 6
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