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Simplifying 4(q + -6) = 2q + -6 Reorder the terms: 4(-6 + q) = 2q + -6 (-6 * 4 + q * 4) = 2q + -6 (-24 + 4q) = 2q + -6 Reorder the terms: -24 + 4q = -6 + 2q Solving -24 + 4q = -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. -24 + 4q + -2q = -6 + 2q + -2q Combine like terms: 4q + -2q = 2q -24 + 2q = -6 + 2q + -2q Combine like terms: 2q + -2q = 0 -24 + 2q = -6 + 0 -24 + 2q = -6 Add '24' to each side of the equation. -24 + 24 + 2q = -6 + 24 Combine like terms: -24 + 24 = 0 0 + 2q = -6 + 24 2q = -6 + 24 Combine like terms: -6 + 24 = 18 2q = 18 Divide each side by '2'. q = 9 Simplifying q = 9
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