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Simplifying 3q + 16 = 7q + 10 Reorder the terms: 16 + 3q = 7q + 10 Reorder the terms: 16 + 3q = 10 + 7q Solving 16 + 3q = 10 + 7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7q' to each side of the equation. 16 + 3q + -7q = 10 + 7q + -7q Combine like terms: 3q + -7q = -4q 16 + -4q = 10 + 7q + -7q Combine like terms: 7q + -7q = 0 16 + -4q = 10 + 0 16 + -4q = 10 Add '-16' to each side of the equation. 16 + -16 + -4q = 10 + -16 Combine like terms: 16 + -16 = 0 0 + -4q = 10 + -16 -4q = 10 + -16 Combine like terms: 10 + -16 = -6 -4q = -6 Divide each side by '-4'. q = 1.5 Simplifying q = 1.5
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