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Simplifying 5(4 + q) + 2q = -22 (4 * 5 + q * 5) + 2q = -22 (20 + 5q) + 2q = -22 Combine like terms: 5q + 2q = 7q 20 + 7q = -22 Solving 20 + 7q = -22 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 7q = -22 + -20 Combine like terms: 20 + -20 = 0 0 + 7q = -22 + -20 7q = -22 + -20 Combine like terms: -22 + -20 = -42 7q = -42 Divide each side by '7'. q = -6 Simplifying q = -6
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