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Simplifying 0.5(3c + -2) + 8 = 43 Reorder the terms: 0.5(-2 + 3c) + 8 = 43 (-2 * 0.5 + 3c * 0.5) + 8 = 43 (-1 + 1.5c) + 8 = 43 Reorder the terms: -1 + 8 + 1.5c = 43 Combine like terms: -1 + 8 = 7 7 + 1.5c = 43 Solving 7 + 1.5c = 43 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 1.5c = 43 + -7 Combine like terms: 7 + -7 = 0 0 + 1.5c = 43 + -7 1.5c = 43 + -7 Combine like terms: 43 + -7 = 36 1.5c = 36 Divide each side by '1.5'. c = 24 Simplifying c = 24
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