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Simplifying 5(2 + -1c) + 3c = 5(c + 2) + 5 (2 * 5 + -1c * 5) + 3c = 5(c + 2) + 5 (10 + -5c) + 3c = 5(c + 2) + 5 Combine like terms: -5c + 3c = -2c 10 + -2c = 5(c + 2) + 5 Reorder the terms: 10 + -2c = 5(2 + c) + 5 10 + -2c = (2 * 5 + c * 5) + 5 10 + -2c = (10 + 5c) + 5 Reorder the terms: 10 + -2c = 10 + 5 + 5c Combine like terms: 10 + 5 = 15 10 + -2c = 15 + 5c Solving 10 + -2c = 15 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 10 + -2c + -5c = 15 + 5c + -5c Combine like terms: -2c + -5c = -7c 10 + -7c = 15 + 5c + -5c Combine like terms: 5c + -5c = 0 10 + -7c = 15 + 0 10 + -7c = 15 Add '-10' to each side of the equation. 10 + -10 + -7c = 15 + -10 Combine like terms: 10 + -10 = 0 0 + -7c = 15 + -10 -7c = 15 + -10 Combine like terms: 15 + -10 = 5 -7c = 5 Divide each side by '-7'. c = -0.7142857143 Simplifying c = -0.7142857143
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