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Simplifying q + -14 = 18 + -3q Reorder the terms: -14 + q = 18 + -3q Solving -14 + q = 18 + -3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3q' to each side of the equation. -14 + q + 3q = 18 + -3q + 3q Combine like terms: q + 3q = 4q -14 + 4q = 18 + -3q + 3q Combine like terms: -3q + 3q = 0 -14 + 4q = 18 + 0 -14 + 4q = 18 Add '14' to each side of the equation. -14 + 14 + 4q = 18 + 14 Combine like terms: -14 + 14 = 0 0 + 4q = 18 + 14 4q = 18 + 14 Combine like terms: 18 + 14 = 32 4q = 32 Divide each side by '4'. q = 8 Simplifying q = 8
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