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Simplifying 2c + 5(-1.5c + 12) = -38 Reorder the terms: 2c + 5(12 + -1.5c) = -38 2c + (12 * 5 + -1.5c * 5) = -38 2c + (60 + -7.5c) = -38 Reorder the terms: 60 + 2c + -7.5c = -38 Combine like terms: 2c + -7.5c = -5.5c 60 + -5.5c = -38 Solving 60 + -5.5c = -38 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -5.5c = -38 + -60 Combine like terms: 60 + -60 = 0 0 + -5.5c = -38 + -60 -5.5c = -38 + -60 Combine like terms: -38 + -60 = -98 -5.5c = -98 Divide each side by '-5.5'. c = 17.81818182 Simplifying c = 17.81818182
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