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Simplifying 8c + -4 = 7c + 1 Reorder the terms: -4 + 8c = 7c + 1 Reorder the terms: -4 + 8c = 1 + 7c Solving -4 + 8c = 1 + 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. -4 + 8c + -7c = 1 + 7c + -7c Combine like terms: 8c + -7c = 1c -4 + 1c = 1 + 7c + -7c Combine like terms: 7c + -7c = 0 -4 + 1c = 1 + 0 -4 + 1c = 1 Add '4' to each side of the equation. -4 + 4 + 1c = 1 + 4 Combine like terms: -4 + 4 = 0 0 + 1c = 1 + 4 1c = 1 + 4 Combine like terms: 1 + 4 = 5 1c = 5 Divide each side by '1'. c = 5 Simplifying c = 5
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