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Simplifying 8c + -3 = 8c + 7 + -1c Reorder the terms: -3 + 8c = 8c + 7 + -1c Reorder the terms: -3 + 8c = 7 + 8c + -1c Combine like terms: 8c + -1c = 7c -3 + 8c = 7 + 7c Solving -3 + 8c = 7 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -3 + 8c + -7c = 7 + 7c + -7c Combine like terms: 8c + -7c = 1c -3 + 1c = 7 + 7c + -7c Combine like terms: 7c + -7c = 0 -3 + 1c = 7 + 0 -3 + 1c = 7 Add '3' to each side of the equation. -3 + 3 + 1c = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 1c = 7 + 3 1c = 7 + 3 Combine like terms: 7 + 3 = 10 1c = 10 Divide each side by '1'. c = 10 Simplifying c = 10
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