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Simplifying 2 = 2q + -1(5q + 3) Reorder the terms: 2 = 2q + -1(3 + 5q) 2 = 2q + (3 * -1 + 5q * -1) 2 = 2q + (-3 + -5q) Reorder the terms: 2 = -3 + 2q + -5q Combine like terms: 2q + -5q = -3q 2 = -3 + -3q Solving 2 = -3 + -3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3q' to each side of the equation. 2 + 3q = -3 + -3q + 3q Combine like terms: -3q + 3q = 0 2 + 3q = -3 + 0 2 + 3q = -3 Add '-2' to each side of the equation. 2 + -2 + 3q = -3 + -2 Combine like terms: 2 + -2 = 0 0 + 3q = -3 + -2 3q = -3 + -2 Combine like terms: -3 + -2 = -5 3q = -5 Divide each side by '3'. q = -1.666666667 Simplifying q = -1.666666667
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