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Simplifying 2q + 4(q + -6) = 12 Reorder the terms: 2q + 4(-6 + q) = 12 2q + (-6 * 4 + q * 4) = 12 2q + (-24 + 4q) = 12 Reorder the terms: -24 + 2q + 4q = 12 Combine like terms: 2q + 4q = 6q -24 + 6q = 12 Solving -24 + 6q = 12 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 6q = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 6q = 12 + 24 6q = 12 + 24 Combine like terms: 12 + 24 = 36 6q = 36 Divide each side by '6'. q = 6 Simplifying q = 6
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