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Simplifying 22 + -2q + 4q + -16 + 5q + 7 = 55 Reorder the terms: 22 + -16 + 7 + -2q + 4q + 5q = 55 Combine like terms: 22 + -16 = 6 6 + 7 + -2q + 4q + 5q = 55 Combine like terms: 6 + 7 = 13 13 + -2q + 4q + 5q = 55 Combine like terms: -2q + 4q = 2q 13 + 2q + 5q = 55 Combine like terms: 2q + 5q = 7q 13 + 7q = 55 Solving 13 + 7q = 55 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 7q = 55 + -13 Combine like terms: 13 + -13 = 0 0 + 7q = 55 + -13 7q = 55 + -13 Combine like terms: 55 + -13 = 42 7q = 42 Divide each side by '7'. q = 6 Simplifying q = 6
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