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Simplifying 2q + 7 = 4q + -9 Reorder the terms: 7 + 2q = 4q + -9 Reorder the terms: 7 + 2q = -9 + 4q Solving 7 + 2q = -9 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. 7 + 2q + -4q = -9 + 4q + -4q Combine like terms: 2q + -4q = -2q 7 + -2q = -9 + 4q + -4q Combine like terms: 4q + -4q = 0 7 + -2q = -9 + 0 7 + -2q = -9 Add '-7' to each side of the equation. 7 + -7 + -2q = -9 + -7 Combine like terms: 7 + -7 = 0 0 + -2q = -9 + -7 -2q = -9 + -7 Combine like terms: -9 + -7 = -16 -2q = -16 Divide each side by '-2'. q = 8 Simplifying q = 8
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