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Simplifying 5(4a + 7) = 3(8a + a) Reorder the terms: 5(7 + 4a) = 3(8a + a) (7 * 5 + 4a * 5) = 3(8a + a) (35 + 20a) = 3(8a + a) Combine like terms: 8a + a = 9a 35 + 20a = 3(9a) Remove parenthesis around (9a) 35 + 20a = 3 * 9a Multiply 3 * 9 35 + 20a = 27a Solving 35 + 20a = 27a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-27a' to each side of the equation. 35 + 20a + -27a = 27a + -27a Combine like terms: 20a + -27a = -7a 35 + -7a = 27a + -27a Combine like terms: 27a + -27a = 0 35 + -7a = 0 Add '-35' to each side of the equation. 35 + -35 + -7a = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -7a = 0 + -35 -7a = 0 + -35 Combine like terms: 0 + -35 = -35 -7a = -35 Divide each side by '-7'. a = 5 Simplifying a = 5
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