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Simplifying 400 = 6q + 100 Reorder the terms: 400 = 100 + 6q Solving 400 = 100 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. 400 + -6q = 100 + 6q + -6q Combine like terms: 6q + -6q = 0 400 + -6q = 100 + 0 400 + -6q = 100 Add '-400' to each side of the equation. 400 + -400 + -6q = 100 + -400 Combine like terms: 400 + -400 = 0 0 + -6q = 100 + -400 -6q = 100 + -400 Combine like terms: 100 + -400 = -300 -6q = -300 Divide each side by '-6'. q = 50 Simplifying q = 50
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