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Simplifying 4q + 5 = 2q + 19 Reorder the terms: 5 + 4q = 2q + 19 Reorder the terms: 5 + 4q = 19 + 2q Solving 5 + 4q = 19 + 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. 5 + 4q + -2q = 19 + 2q + -2q Combine like terms: 4q + -2q = 2q 5 + 2q = 19 + 2q + -2q Combine like terms: 2q + -2q = 0 5 + 2q = 19 + 0 5 + 2q = 19 Add '-5' to each side of the equation. 5 + -5 + 2q = 19 + -5 Combine like terms: 5 + -5 = 0 0 + 2q = 19 + -5 2q = 19 + -5 Combine like terms: 19 + -5 = 14 2q = 14 Divide each side by '2'. q = 7 Simplifying q = 7
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