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Simplifying 4q + 4 + -1q = 2(q + -3) Reorder the terms: 4 + 4q + -1q = 2(q + -3) Combine like terms: 4q + -1q = 3q 4 + 3q = 2(q + -3) Reorder the terms: 4 + 3q = 2(-3 + q) 4 + 3q = (-3 * 2 + q * 2) 4 + 3q = (-6 + 2q) Solving 4 + 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. 4 + 3q + -2q = -6 + 2q + -2q Combine like terms: 3q + -2q = 1q 4 + 1q = -6 + 2q + -2q Combine like terms: 2q + -2q = 0 4 + 1q = -6 + 0 4 + 1q = -6 Add '-4' to each side of the equation. 4 + -4 + 1q = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 1q = -6 + -4 1q = -6 + -4 Combine like terms: -6 + -4 = -10 1q = -10 Divide each side by '1'. q = -10 Simplifying q = -10
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