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Simplifying 2 + 3q = 4q + -5 Reorder the terms: 2 + 3q = -5 + 4q Solving 2 + 3q = -5 + 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. 2 + 3q + -4q = -5 + 4q + -4q Combine like terms: 3q + -4q = -1q 2 + -1q = -5 + 4q + -4q Combine like terms: 4q + -4q = 0 2 + -1q = -5 + 0 2 + -1q = -5 Add '-2' to each side of the equation. 2 + -2 + -1q = -5 + -2 Combine like terms: 2 + -2 = 0 0 + -1q = -5 + -2 -1q = -5 + -2 Combine like terms: -5 + -2 = -7 -1q = -7 Divide each side by '-1'. q = 7 Simplifying q = 7
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