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Simplifying 8(3a + -6) = 9(2a + -4) Reorder the terms: 8(-6 + 3a) = 9(2a + -4) (-6 * 8 + 3a * 8) = 9(2a + -4) (-48 + 24a) = 9(2a + -4) Reorder the terms: -48 + 24a = 9(-4 + 2a) -48 + 24a = (-4 * 9 + 2a * 9) -48 + 24a = (-36 + 18a) Solving -48 + 24a = -36 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. -48 + 24a + -18a = -36 + 18a + -18a Combine like terms: 24a + -18a = 6a -48 + 6a = -36 + 18a + -18a Combine like terms: 18a + -18a = 0 -48 + 6a = -36 + 0 -48 + 6a = -36 Add '48' to each side of the equation. -48 + 48 + 6a = -36 + 48 Combine like terms: -48 + 48 = 0 0 + 6a = -36 + 48 6a = -36 + 48 Combine like terms: -36 + 48 = 12 6a = 12 Divide each side by '6'. a = 2 Simplifying a = 2
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