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Simplifying 4q + -3 = 2q + 13 Reorder the terms: -3 + 4q = 2q + 13 Reorder the terms: -3 + 4q = 13 + 2q Solving -3 + 4q = 13 + 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. -3 + 4q + -2q = 13 + 2q + -2q Combine like terms: 4q + -2q = 2q -3 + 2q = 13 + 2q + -2q Combine like terms: 2q + -2q = 0 -3 + 2q = 13 + 0 -3 + 2q = 13 Add '3' to each side of the equation. -3 + 3 + 2q = 13 + 3 Combine like terms: -3 + 3 = 0 0 + 2q = 13 + 3 2q = 13 + 3 Combine like terms: 13 + 3 = 16 2q = 16 Divide each side by '2'. q = 8 Simplifying q = 8
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