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Simplifying 4(q + 3) = 2(q + -11) Reorder the terms: 4(3 + q) = 2(q + -11) (3 * 4 + q * 4) = 2(q + -11) (12 + 4q) = 2(q + -11) Reorder the terms: 12 + 4q = 2(-11 + q) 12 + 4q = (-11 * 2 + q * 2) 12 + 4q = (-22 + 2q) Solving 12 + 4q = -22 + 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. 12 + 4q + -2q = -22 + 2q + -2q Combine like terms: 4q + -2q = 2q 12 + 2q = -22 + 2q + -2q Combine like terms: 2q + -2q = 0 12 + 2q = -22 + 0 12 + 2q = -22 Add '-12' to each side of the equation. 12 + -12 + 2q = -22 + -12 Combine like terms: 12 + -12 = 0 0 + 2q = -22 + -12 2q = -22 + -12 Combine like terms: -22 + -12 = -34 2q = -34 Divide each side by '2'. q = -17 Simplifying q = -17
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