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Simplifying -6.5c + 15 = -9.7c + 43.8 Reorder the terms: 15 + -6.5c = -9.7c + 43.8 Reorder the terms: 15 + -6.5c = 43.8 + -9.7c Solving 15 + -6.5c = 43.8 + -9.7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '9.7c' to each side of the equation. 15 + -6.5c + 9.7c = 43.8 + -9.7c + 9.7c Combine like terms: -6.5c + 9.7c = 3.2c 15 + 3.2c = 43.8 + -9.7c + 9.7c Combine like terms: -9.7c + 9.7c = 0.0 15 + 3.2c = 43.8 + 0.0 15 + 3.2c = 43.8 Add '-15' to each side of the equation. 15 + -15 + 3.2c = 43.8 + -15 Combine like terms: 15 + -15 = 0 0 + 3.2c = 43.8 + -15 3.2c = 43.8 + -15 Combine like terms: 43.8 + -15 = 28.8 3.2c = 28.8 Divide each side by '3.2'. c = 9 Simplifying c = 9
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