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Simplifying 7c2 + -2c + 3 = 7(c2 + c) Reorder the terms: 3 + -2c + 7c2 = 7(c2 + c) Reorder the terms: 3 + -2c + 7c2 = 7(c + c2) 3 + -2c + 7c2 = (c * 7 + c2 * 7) 3 + -2c + 7c2 = (7c + 7c2) Add '-7c2' to each side of the equation. 3 + -2c + 7c2 + -7c2 = 7c + 7c2 + -7c2 Combine like terms: 7c2 + -7c2 = 0 3 + -2c + 0 = 7c + 7c2 + -7c2 3 + -2c = 7c + 7c2 + -7c2 Combine like terms: 7c2 + -7c2 = 0 3 + -2c = 7c + 0 3 + -2c = 7c Solving 3 + -2c = 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 3 + -2c + -7c = 7c + -7c Combine like terms: -2c + -7c = -9c 3 + -9c = 7c + -7c Combine like terms: 7c + -7c = 0 3 + -9c = 0 Add '-3' to each side of the equation. 3 + -3 + -9c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -9c = 0 + -3 -9c = 0 + -3 Combine like terms: 0 + -3 = -3 -9c = -3 Divide each side by '-9'. c = 0.3333333333 Simplifying c = 0.3333333333
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