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Simplifying 6c + -7 = 5c + 15 Reorder the terms: -7 + 6c = 5c + 15 Reorder the terms: -7 + 6c = 15 + 5c Solving -7 + 6c = 15 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -7 + 6c + -5c = 15 + 5c + -5c Combine like terms: 6c + -5c = 1c -7 + 1c = 15 + 5c + -5c Combine like terms: 5c + -5c = 0 -7 + 1c = 15 + 0 -7 + 1c = 15 Add '7' to each side of the equation. -7 + 7 + 1c = 15 + 7 Combine like terms: -7 + 7 = 0 0 + 1c = 15 + 7 1c = 15 + 7 Combine like terms: 15 + 7 = 22 1c = 22 Divide each side by '1'. c = 22 Simplifying c = 22
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