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Simplifying 7(3c + 1) = 5c + -2(c + 3) Reorder the terms: 7(1 + 3c) = 5c + -2(c + 3) (1 * 7 + 3c * 7) = 5c + -2(c + 3) (7 + 21c) = 5c + -2(c + 3) Reorder the terms: 7 + 21c = 5c + -2(3 + c) 7 + 21c = 5c + (3 * -2 + c * -2) 7 + 21c = 5c + (-6 + -2c) Reorder the terms: 7 + 21c = -6 + 5c + -2c Combine like terms: 5c + -2c = 3c 7 + 21c = -6 + 3c Solving 7 + 21c = -6 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 7 + 21c + -3c = -6 + 3c + -3c Combine like terms: 21c + -3c = 18c 7 + 18c = -6 + 3c + -3c Combine like terms: 3c + -3c = 0 7 + 18c = -6 + 0 7 + 18c = -6 Add '-7' to each side of the equation. 7 + -7 + 18c = -6 + -7 Combine like terms: 7 + -7 = 0 0 + 18c = -6 + -7 18c = -6 + -7 Combine like terms: -6 + -7 = -13 18c = -13 Divide each side by '18'. c = -0.7222222222 Simplifying c = -0.7222222222
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