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Simplifying 6q + 2 + 3q + 5 = 16q Reorder the terms: 2 + 5 + 6q + 3q = 16q Combine like terms: 2 + 5 = 7 7 + 6q + 3q = 16q Combine like terms: 6q + 3q = 9q 7 + 9q = 16q Solving 7 + 9q = 16q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-16q' to each side of the equation. 7 + 9q + -16q = 16q + -16q Combine like terms: 9q + -16q = -7q 7 + -7q = 16q + -16q Combine like terms: 16q + -16q = 0 7 + -7q = 0 Add '-7' to each side of the equation. 7 + -7 + -7q = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -7q = 0 + -7 -7q = 0 + -7 Combine like terms: 0 + -7 = -7 -7q = -7 Divide each side by '-7'. q = 1 Simplifying q = 1
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