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Simplifying 8(4q + -6) = 9(2a + -4) Reorder the terms: 8(-6 + 4q) = 9(2a + -4) (-6 * 8 + 4q * 8) = 9(2a + -4) (-48 + 32q) = 9(2a + -4) Reorder the terms: -48 + 32q = 9(-4 + 2a) -48 + 32q = (-4 * 9 + 2a * 9) -48 + 32q = (-36 + 18a) Solving -48 + 32q = -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 + 32q = -36 + 48 + 18a Combine like terms: -48 + 48 = 0 0 + 32q = -36 + 48 + 18a 32q = -36 + 48 + 18a Combine like terms: -36 + 48 = 12 32q = 12 + 18a Divide each side by '32'. q = 0.375 + 0.5625a Simplifying q = 0.375 + 0.5625a
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