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Simplifying 4q + -2q + -2q + 3q + -2 = 13 Reorder the terms: -2 + 4q + -2q + -2q + 3q = 13 Combine like terms: 4q + -2q = 2q -2 + 2q + -2q + 3q = 13 Combine like terms: 2q + -2q = 0 -2 + 0 + 3q = 13 -2 + 3q = 13 Solving -2 + 3q = 13 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 + 3q = 13 + 2 Combine like terms: -2 + 2 = 0 0 + 3q = 13 + 2 3q = 13 + 2 Combine like terms: 13 + 2 = 15 3q = 15 Divide each side by '3'. q = 5 Simplifying q = 5
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