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Simplifying 2q + 14 = 46 + -2q Reorder the terms: 14 + 2q = 46 + -2q Solving 14 + 2q = 46 + -2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2q' to each side of the equation. 14 + 2q + 2q = 46 + -2q + 2q Combine like terms: 2q + 2q = 4q 14 + 4q = 46 + -2q + 2q Combine like terms: -2q + 2q = 0 14 + 4q = 46 + 0 14 + 4q = 46 Add '-14' to each side of the equation. 14 + -14 + 4q = 46 + -14 Combine like terms: 14 + -14 = 0 0 + 4q = 46 + -14 4q = 46 + -14 Combine like terms: 46 + -14 = 32 4q = 32 Divide each side by '4'. q = 8 Simplifying q = 8
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