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Simplifying 8(3q + 6) = 9(2a + -4) Reorder the terms: 8(6 + 3q) = 9(2a + -4) (6 * 8 + 3q * 8) = 9(2a + -4) (48 + 24q) = 9(2a + -4) Reorder the terms: 48 + 24q = 9(-4 + 2a) 48 + 24q = (-4 * 9 + 2a * 9) 48 + 24q = (-36 + 18a) Solving 48 + 24q = -36 + 18a Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 24q = -36 + -48 + 18a Combine like terms: 48 + -48 = 0 0 + 24q = -36 + -48 + 18a 24q = -36 + -48 + 18a Combine like terms: -36 + -48 = -84 24q = -84 + 18a Divide each side by '24'. q = -3.5 + 0.75a Simplifying q = -3.5 + 0.75a
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