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Simplifying 3q + -45 + 31 = q + 45 Reorder the terms: -45 + 31 + 3q = q + 45 Combine like terms: -45 + 31 = -14 -14 + 3q = q + 45 Reorder the terms: -14 + 3q = 45 + q Solving -14 + 3q = 45 + q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. -14 + 3q + -1q = 45 + q + -1q Combine like terms: 3q + -1q = 2q -14 + 2q = 45 + q + -1q Combine like terms: q + -1q = 0 -14 + 2q = 45 + 0 -14 + 2q = 45 Add '14' to each side of the equation. -14 + 14 + 2q = 45 + 14 Combine like terms: -14 + 14 = 0 0 + 2q = 45 + 14 2q = 45 + 14 Combine like terms: 45 + 14 = 59 2q = 59 Divide each side by '2'. q = 29.5 Simplifying q = 29.5
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