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Simplifying 0.5(6c + -4) = 4 + c Reorder the terms: 0.5(-4 + 6c) = 4 + c (-4 * 0.5 + 6c * 0.5) = 4 + c (-2 + 3c) = 4 + c Solving -2 + 3c = 4 + 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 + 3c + -1c = 4 + c + -1c Combine like terms: 3c + -1c = 2c -2 + 2c = 4 + c + -1c Combine like terms: c + -1c = 0 -2 + 2c = 4 + 0 -2 + 2c = 4 Add '2' to each side of the equation. -2 + 2 + 2c = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 2c = 4 + 2 2c = 4 + 2 Combine like terms: 4 + 2 = 6 2c = 6 Divide each side by '2'. c = 3 Simplifying c = 3
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