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Simplifying 1.5c + 4 = 0.5c + 13 Reorder the terms: 4 + 1.5c = 0.5c + 13 Reorder the terms: 4 + 1.5c = 13 + 0.5c Solving 4 + 1.5c = 13 + 0.5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.5c' to each side of the equation. 4 + 1.5c + -0.5c = 13 + 0.5c + -0.5c Combine like terms: 1.5c + -0.5c = 1c 4 + 1c = 13 + 0.5c + -0.5c Combine like terms: 0.5c + -0.5c = 0.0 4 + 1c = 13 + 0.0 4 + 1c = 13 Add '-4' to each side of the equation. 4 + -4 + 1c = 13 + -4 Combine like terms: 4 + -4 = 0 0 + 1c = 13 + -4 1c = 13 + -4 Combine like terms: 13 + -4 = 9 1c = 9 Divide each side by '1'. c = 9 Simplifying c = 9
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