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Simplifying 1 + 6q = -2q + 9 + 4q Reorder the terms: 1 + 6q = 9 + -2q + 4q Combine like terms: -2q + 4q = 2q 1 + 6q = 9 + 2q Solving 1 + 6q = 9 + 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. 1 + 6q + -2q = 9 + 2q + -2q Combine like terms: 6q + -2q = 4q 1 + 4q = 9 + 2q + -2q Combine like terms: 2q + -2q = 0 1 + 4q = 9 + 0 1 + 4q = 9 Add '-1' to each side of the equation. 1 + -1 + 4q = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 4q = 9 + -1 4q = 9 + -1 Combine like terms: 9 + -1 = 8 4q = 8 Divide each side by '4'. q = 2 Simplifying q = 2
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