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Simplifying 0.50(3c + -4) = c + 8 Reorder the terms: 0.50(-4 + 3c) = c + 8 (-4 * 0.50 + 3c * 0.50) = c + 8 (-2 + 1.5c) = c + 8 Reorder the terms: -2 + 1.5c = 8 + c Solving -2 + 1.5c = 8 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. -2 + 1.5c + -1c = 8 + c + -1c Combine like terms: 1.5c + -1c = 0.5c -2 + 0.5c = 8 + c + -1c Combine like terms: c + -1c = 0 -2 + 0.5c = 8 + 0 -2 + 0.5c = 8 Add '2' to each side of the equation. -2 + 2 + 0.5c = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 0.5c = 8 + 2 0.5c = 8 + 2 Combine like terms: 8 + 2 = 10 0.5c = 10 Divide each side by '0.5'. c = 20 Simplifying c = 20
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