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Simplifying 10c + -14 = 6c + 30 Reorder the terms: -14 + 10c = 6c + 30 Reorder the terms: -14 + 10c = 30 + 6c Solving -14 + 10c = 30 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -14 + 10c + -6c = 30 + 6c + -6c Combine like terms: 10c + -6c = 4c -14 + 4c = 30 + 6c + -6c Combine like terms: 6c + -6c = 0 -14 + 4c = 30 + 0 -14 + 4c = 30 Add '14' to each side of the equation. -14 + 14 + 4c = 30 + 14 Combine like terms: -14 + 14 = 0 0 + 4c = 30 + 14 4c = 30 + 14 Combine like terms: 30 + 14 = 44 4c = 44 Divide each side by '4'. c = 11 Simplifying c = 11
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