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Simplifying 7q + 6 = 3q + 10 Reorder the terms: 6 + 7q = 3q + 10 Reorder the terms: 6 + 7q = 10 + 3q Solving 6 + 7q = 10 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. 6 + 7q + -3q = 10 + 3q + -3q Combine like terms: 7q + -3q = 4q 6 + 4q = 10 + 3q + -3q Combine like terms: 3q + -3q = 0 6 + 4q = 10 + 0 6 + 4q = 10 Add '-6' to each side of the equation. 6 + -6 + 4q = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 4q = 10 + -6 4q = 10 + -6 Combine like terms: 10 + -6 = 4 4q = 4 Divide each side by '4'. q = 1 Simplifying q = 1
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