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Simplifying 4q + -5 = 19 + -8q Reorder the terms: -5 + 4q = 19 + -8q Solving -5 + 4q = 19 + -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. -5 + 4q + 8q = 19 + -8q + 8q Combine like terms: 4q + 8q = 12q -5 + 12q = 19 + -8q + 8q Combine like terms: -8q + 8q = 0 -5 + 12q = 19 + 0 -5 + 12q = 19 Add '5' to each side of the equation. -5 + 5 + 12q = 19 + 5 Combine like terms: -5 + 5 = 0 0 + 12q = 19 + 5 12q = 19 + 5 Combine like terms: 19 + 5 = 24 12q = 24 Divide each side by '12'. q = 2 Simplifying q = 2
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