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Simplifying 4q + -7 = 2q + 3 Reorder the terms: -7 + 4q = 2q + 3 Reorder the terms: -7 + 4q = 3 + 2q Solving -7 + 4q = 3 + 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. -7 + 4q + -2q = 3 + 2q + -2q Combine like terms: 4q + -2q = 2q -7 + 2q = 3 + 2q + -2q Combine like terms: 2q + -2q = 0 -7 + 2q = 3 + 0 -7 + 2q = 3 Add '7' to each side of the equation. -7 + 7 + 2q = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 2q = 3 + 7 2q = 3 + 7 Combine like terms: 3 + 7 = 10 2q = 10 Divide each side by '2'. q = 5 Simplifying q = 5
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