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Simplifying 41 = 8q + 1 Reorder the terms: 41 = 1 + 8q Solving 41 = 1 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. 41 + -8q = 1 + 8q + -8q Combine like terms: 8q + -8q = 0 41 + -8q = 1 + 0 41 + -8q = 1 Add '-41' to each side of the equation. 41 + -41 + -8q = 1 + -41 Combine like terms: 41 + -41 = 0 0 + -8q = 1 + -41 -8q = 1 + -41 Combine like terms: 1 + -41 = -40 -8q = -40 Divide each side by '-8'. q = 5 Simplifying q = 5
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