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Simplifying 8c = 14 + -0.5(10c + 2) Reorder the terms: 8c = 14 + -0.5(2 + 10c) 8c = 14 + (2 * -0.5 + 10c * -0.5) 8c = 14 + (-1 + -5c) Combine like terms: 14 + -1 = 13 8c = 13 + -5c Solving 8c = 13 + -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. 8c + 5c = 13 + -5c + 5c Combine like terms: 8c + 5c = 13c 13c = 13 + -5c + 5c Combine like terms: -5c + 5c = 0 13c = 13 + 0 13c = 13 Divide each side by '13'. c = 1 Simplifying c = 1
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