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Simplifying 7 + 2q = 6q + -5 Reorder the terms: 7 + 2q = -5 + 6q Solving 7 + 2q = -5 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. 7 + 2q + -6q = -5 + 6q + -6q Combine like terms: 2q + -6q = -4q 7 + -4q = -5 + 6q + -6q Combine like terms: 6q + -6q = 0 7 + -4q = -5 + 0 7 + -4q = -5 Add '-7' to each side of the equation. 7 + -7 + -4q = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -4q = -5 + -7 -4q = -5 + -7 Combine like terms: -5 + -7 = -12 -4q = -12 Divide each side by '-4'. q = 3 Simplifying q = 3
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