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Simplifying 12q + -9 = 8q + 14 Reorder the terms: -9 + 12q = 8q + 14 Reorder the terms: -9 + 12q = 14 + 8q Solving -9 + 12q = 14 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. -9 + 12q + -8q = 14 + 8q + -8q Combine like terms: 12q + -8q = 4q -9 + 4q = 14 + 8q + -8q Combine like terms: 8q + -8q = 0 -9 + 4q = 14 + 0 -9 + 4q = 14 Add '9' to each side of the equation. -9 + 9 + 4q = 14 + 9 Combine like terms: -9 + 9 = 0 0 + 4q = 14 + 9 4q = 14 + 9 Combine like terms: 14 + 9 = 23 4q = 23 Divide each side by '4'. q = 5.75 Simplifying q = 5.75
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