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Simplifying 15 = 19 + 2q + -38 Reorder the terms: 15 = 19 + -38 + 2q Combine like terms: 19 + -38 = -19 15 = -19 + 2q Solving 15 = -19 + 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. 15 + -2q = -19 + 2q + -2q Combine like terms: 2q + -2q = 0 15 + -2q = -19 + 0 15 + -2q = -19 Add '-15' to each side of the equation. 15 + -15 + -2q = -19 + -15 Combine like terms: 15 + -15 = 0 0 + -2q = -19 + -15 -2q = -19 + -15 Combine like terms: -19 + -15 = -34 -2q = -34 Divide each side by '-2'. q = 17 Simplifying q = 17
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