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Simplifying 8(4a + 9) = 6(4a + 8) Reorder the terms: 8(9 + 4a) = 6(4a + 8) (9 * 8 + 4a * 8) = 6(4a + 8) (72 + 32a) = 6(4a + 8) Reorder the terms: 72 + 32a = 6(8 + 4a) 72 + 32a = (8 * 6 + 4a * 6) 72 + 32a = (48 + 24a) Solving 72 + 32a = 48 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. 72 + 32a + -24a = 48 + 24a + -24a Combine like terms: 32a + -24a = 8a 72 + 8a = 48 + 24a + -24a Combine like terms: 24a + -24a = 0 72 + 8a = 48 + 0 72 + 8a = 48 Add '-72' to each side of the equation. 72 + -72 + 8a = 48 + -72 Combine like terms: 72 + -72 = 0 0 + 8a = 48 + -72 8a = 48 + -72 Combine like terms: 48 + -72 = -24 8a = -24 Divide each side by '8'. a = -3 Simplifying a = -3
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