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Simplifying 2(q + 2) + 5q = -38 Reorder the terms: 2(2 + q) + 5q = -38 (2 * 2 + q * 2) + 5q = -38 (4 + 2q) + 5q = -38 Combine like terms: 2q + 5q = 7q 4 + 7q = -38 Solving 4 + 7q = -38 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7q = -38 + -4 Combine like terms: 4 + -4 = 0 0 + 7q = -38 + -4 7q = -38 + -4 Combine like terms: -38 + -4 = -42 7q = -42 Divide each side by '7'. q = -6 Simplifying q = -6
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