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Simplifying 6c + -5 = 0.5(6 + 4c) Reorder the terms: -5 + 6c = 0.5(6 + 4c) -5 + 6c = (6 * 0.5 + 4c * 0.5) -5 + 6c = (3 + 2c) Solving -5 + 6c = 3 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -5 + 6c + -2c = 3 + 2c + -2c Combine like terms: 6c + -2c = 4c -5 + 4c = 3 + 2c + -2c Combine like terms: 2c + -2c = 0 -5 + 4c = 3 + 0 -5 + 4c = 3 Add '5' to each side of the equation. -5 + 5 + 4c = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 4c = 3 + 5 4c = 3 + 5 Combine like terms: 3 + 5 = 8 4c = 8 Divide each side by '4'. c = 2 Simplifying c = 2
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