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Simplifying c + 3c + 0.5(3c) + 2 + -4c = 0 Remove parenthesis around (3c) c + 3c + 0.5 * 3c + 2 + -4c = 0 Multiply 0.5 * 3 c + 3c + 1.5c + 2 + -4c = 0 Reorder the terms: 2 + c + 3c + 1.5c + -4c = 0 Combine like terms: c + 3c = 4c 2 + 4c + 1.5c + -4c = 0 Combine like terms: 4c + 1.5c = 5.5c 2 + 5.5c + -4c = 0 Combine like terms: 5.5c + -4c = 1.5c 2 + 1.5c = 0 Solving 2 + 1.5c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1.5c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1.5c = 0 + -2 1.5c = 0 + -2 Combine like terms: 0 + -2 = -2 1.5c = -2 Divide each side by '1.5'. c = -1.333333333 Simplifying c = -1.333333333
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