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Simplifying 5(4a + 7) = 3(8a + 9) Reorder the terms: 5(7 + 4a) = 3(8a + 9) (7 * 5 + 4a * 5) = 3(8a + 9) (35 + 20a) = 3(8a + 9) Reorder the terms: 35 + 20a = 3(9 + 8a) 35 + 20a = (9 * 3 + 8a * 3) 35 + 20a = (27 + 24a) Solving 35 + 20a = 27 + 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. 35 + 20a + -24a = 27 + 24a + -24a Combine like terms: 20a + -24a = -4a 35 + -4a = 27 + 24a + -24a Combine like terms: 24a + -24a = 0 35 + -4a = 27 + 0 35 + -4a = 27 Add '-35' to each side of the equation. 35 + -35 + -4a = 27 + -35 Combine like terms: 35 + -35 = 0 0 + -4a = 27 + -35 -4a = 27 + -35 Combine like terms: 27 + -35 = -8 -4a = -8 Divide each side by '-4'. a = 2 Simplifying a = 2
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