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Simplifying 4q + 37 = 2q + 51 Reorder the terms: 37 + 4q = 2q + 51 Reorder the terms: 37 + 4q = 51 + 2q Solving 37 + 4q = 51 + 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. 37 + 4q + -2q = 51 + 2q + -2q Combine like terms: 4q + -2q = 2q 37 + 2q = 51 + 2q + -2q Combine like terms: 2q + -2q = 0 37 + 2q = 51 + 0 37 + 2q = 51 Add '-37' to each side of the equation. 37 + -37 + 2q = 51 + -37 Combine like terms: 37 + -37 = 0 0 + 2q = 51 + -37 2q = 51 + -37 Combine like terms: 51 + -37 = 14 2q = 14 Divide each side by '2'. q = 7 Simplifying q = 7
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