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Simplifying q + -1 = 3q + -41 Reorder the terms: -1 + q = 3q + -41 Reorder the terms: -1 + q = -41 + 3q Solving -1 + q = -41 + 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. -1 + q + -3q = -41 + 3q + -3q Combine like terms: q + -3q = -2q -1 + -2q = -41 + 3q + -3q Combine like terms: 3q + -3q = 0 -1 + -2q = -41 + 0 -1 + -2q = -41 Add '1' to each side of the equation. -1 + 1 + -2q = -41 + 1 Combine like terms: -1 + 1 = 0 0 + -2q = -41 + 1 -2q = -41 + 1 Combine like terms: -41 + 1 = -40 -2q = -40 Divide each side by '-2'. q = 20 Simplifying q = 20
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