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Simplifying 3q + 4 = 2q + 10 Reorder the terms: 4 + 3q = 2q + 10 Reorder the terms: 4 + 3q = 10 + 2q Solving 4 + 3q = 10 + 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. 4 + 3q + -2q = 10 + 2q + -2q Combine like terms: 3q + -2q = 1q 4 + 1q = 10 + 2q + -2q Combine like terms: 2q + -2q = 0 4 + 1q = 10 + 0 4 + 1q = 10 Add '-4' to each side of the equation. 4 + -4 + 1q = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 1q = 10 + -4 1q = 10 + -4 Combine like terms: 10 + -4 = 6 1q = 6 Divide each side by '1'. q = 6 Simplifying q = 6
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