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Simplifying 3c + 14 = -2(3c + -10) Reorder the terms: 14 + 3c = -2(3c + -10) Reorder the terms: 14 + 3c = -2(-10 + 3c) 14 + 3c = (-10 * -2 + 3c * -2) 14 + 3c = (20 + -6c) Solving 14 + 3c = 20 + -6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6c' to each side of the equation. 14 + 3c + 6c = 20 + -6c + 6c Combine like terms: 3c + 6c = 9c 14 + 9c = 20 + -6c + 6c Combine like terms: -6c + 6c = 0 14 + 9c = 20 + 0 14 + 9c = 20 Add '-14' to each side of the equation. 14 + -14 + 9c = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 9c = 20 + -14 9c = 20 + -14 Combine like terms: 20 + -14 = 6 9c = 6 Divide each side by '9'. c = 0.6666666667 Simplifying c = 0.6666666667
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