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Simplifying 3.5(c + -8) = 12.5 + -1c Reorder the terms: 3.5(-8 + c) = 12.5 + -1c (-8 * 3.5 + c * 3.5) = 12.5 + -1c (-28 + 3.5c) = 12.5 + -1c Solving -28 + 3.5c = 12.5 + -1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'c' to each side of the equation. -28 + 3.5c + c = 12.5 + -1c + c Combine like terms: 3.5c + c = 4.5c -28 + 4.5c = 12.5 + -1c + c Combine like terms: -1c + c = 0 -28 + 4.5c = 12.5 + 0 -28 + 4.5c = 12.5 Add '28' to each side of the equation. -28 + 28 + 4.5c = 12.5 + 28 Combine like terms: -28 + 28 = 0 0 + 4.5c = 12.5 + 28 4.5c = 12.5 + 28 Combine like terms: 12.5 + 28 = 40.5 4.5c = 40.5 Divide each side by '4.5'. c = 9 Simplifying c = 9
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