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Simplifying 10(4 + -2c) + 5c = -50c + 15 (4 * 10 + -2c * 10) + 5c = -50c + 15 (40 + -20c) + 5c = -50c + 15 Combine like terms: -20c + 5c = -15c 40 + -15c = -50c + 15 Reorder the terms: 40 + -15c = 15 + -50c Solving 40 + -15c = 15 + -50c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '50c' to each side of the equation. 40 + -15c + 50c = 15 + -50c + 50c Combine like terms: -15c + 50c = 35c 40 + 35c = 15 + -50c + 50c Combine like terms: -50c + 50c = 0 40 + 35c = 15 + 0 40 + 35c = 15 Add '-40' to each side of the equation. 40 + -40 + 35c = 15 + -40 Combine like terms: 40 + -40 = 0 0 + 35c = 15 + -40 35c = 15 + -40 Combine like terms: 15 + -40 = -25 35c = -25 Divide each side by '35'. c = -0.7142857143 Simplifying c = -0.7142857143
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