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Simplifying 4q + 5 + -1q = 2(q + -3) Reorder the terms: 5 + 4q + -1q = 2(q + -3) Combine like terms: 4q + -1q = 3q 5 + 3q = 2(q + -3) Reorder the terms: 5 + 3q = 2(-3 + q) 5 + 3q = (-3 * 2 + q * 2) 5 + 3q = (-6 + 2q) Solving 5 + 3q = -6 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. 5 + 3q + -2q = -6 + 2q + -2q Combine like terms: 3q + -2q = 1q 5 + 1q = -6 + 2q + -2q Combine like terms: 2q + -2q = 0 5 + 1q = -6 + 0 5 + 1q = -6 Add '-5' to each side of the equation. 5 + -5 + 1q = -6 + -5 Combine like terms: 5 + -5 = 0 0 + 1q = -6 + -5 1q = -6 + -5 Combine like terms: -6 + -5 = -11 1q = -11 Divide each side by '1'. q = -11 Simplifying q = -11
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