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Simplifying 4(6 + 3q) = 9(8 + 2q) (6 * 4 + 3q * 4) = 9(8 + 2q) (24 + 12q) = 9(8 + 2q) 24 + 12q = (8 * 9 + 2q * 9) 24 + 12q = (72 + 18q) Solving 24 + 12q = 72 + 18q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-18q' to each side of the equation. 24 + 12q + -18q = 72 + 18q + -18q Combine like terms: 12q + -18q = -6q 24 + -6q = 72 + 18q + -18q Combine like terms: 18q + -18q = 0 24 + -6q = 72 + 0 24 + -6q = 72 Add '-24' to each side of the equation. 24 + -24 + -6q = 72 + -24 Combine like terms: 24 + -24 = 0 0 + -6q = 72 + -24 -6q = 72 + -24 Combine like terms: 72 + -24 = 48 -6q = 48 Divide each side by '-6'. q = -8 Simplifying q = -8
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