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Simplifying 3q + 6 = 7q + -5 Reorder the terms: 6 + 3q = 7q + -5 Reorder the terms: 6 + 3q = -5 + 7q Solving 6 + 3q = -5 + 7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7q' to each side of the equation. 6 + 3q + -7q = -5 + 7q + -7q Combine like terms: 3q + -7q = -4q 6 + -4q = -5 + 7q + -7q Combine like terms: 7q + -7q = 0 6 + -4q = -5 + 0 6 + -4q = -5 Add '-6' to each side of the equation. 6 + -6 + -4q = -5 + -6 Combine like terms: 6 + -6 = 0 0 + -4q = -5 + -6 -4q = -5 + -6 Combine like terms: -5 + -6 = -11 -4q = -11 Divide each side by '-4'. q = 2.75 Simplifying q = 2.75
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