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Simplifying 12q + -6 = 8q + 14 Reorder the terms: -6 + 12q = 8q + 14 Reorder the terms: -6 + 12q = 14 + 8q Solving -6 + 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. -6 + 12q + -8q = 14 + 8q + -8q Combine like terms: 12q + -8q = 4q -6 + 4q = 14 + 8q + -8q Combine like terms: 8q + -8q = 0 -6 + 4q = 14 + 0 -6 + 4q = 14 Add '6' to each side of the equation. -6 + 6 + 4q = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 4q = 14 + 6 4q = 14 + 6 Combine like terms: 14 + 6 = 20 4q = 20 Divide each side by '4'. q = 5 Simplifying q = 5
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