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Simplifying 4q + 3q + -4q + -2q + 2 = 18 Reorder the terms: 2 + 4q + 3q + -4q + -2q = 18 Combine like terms: 4q + 3q = 7q 2 + 7q + -4q + -2q = 18 Combine like terms: 7q + -4q = 3q 2 + 3q + -2q = 18 Combine like terms: 3q + -2q = 1q 2 + 1q = 18 Solving 2 + 1q = 18 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1q = 18 + -2 Combine like terms: 2 + -2 = 0 0 + 1q = 18 + -2 1q = 18 + -2 Combine like terms: 18 + -2 = 16 1q = 16 Divide each side by '1'. q = 16 Simplifying q = 16
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