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