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Simplifying 6q + 8 + 2q + 15 = 9q + 3 + 3q Reorder the terms: 8 + 15 + 6q + 2q = 9q + 3 + 3q Combine like terms: 8 + 15 = 23 23 + 6q + 2q = 9q + 3 + 3q Combine like terms: 6q + 2q = 8q 23 + 8q = 9q + 3 + 3q Reorder the terms: 23 + 8q = 3 + 9q + 3q Combine like terms: 9q + 3q = 12q 23 + 8q = 3 + 12q Solving 23 + 8q = 3 + 12q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-12q' to each side of the equation. 23 + 8q + -12q = 3 + 12q + -12q Combine like terms: 8q + -12q = -4q 23 + -4q = 3 + 12q + -12q Combine like terms: 12q + -12q = 0 23 + -4q = 3 + 0 23 + -4q = 3 Add '-23' to each side of the equation. 23 + -23 + -4q = 3 + -23 Combine like terms: 23 + -23 = 0 0 + -4q = 3 + -23 -4q = 3 + -23 Combine like terms: 3 + -23 = -20 -4q = -20 Divide each side by '-4'. q = 5 Simplifying q = 5
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