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Simplifying 6(4 + 5a) = 8a + 5(-3 + 7a) (4 * 6 + 5a * 6) = 8a + 5(-3 + 7a) (24 + 30a) = 8a + 5(-3 + 7a) 24 + 30a = 8a + (-3 * 5 + 7a * 5) 24 + 30a = 8a + (-15 + 35a) Reorder the terms: 24 + 30a = -15 + 8a + 35a Combine like terms: 8a + 35a = 43a 24 + 30a = -15 + 43a Solving 24 + 30a = -15 + 43a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-43a' to each side of the equation. 24 + 30a + -43a = -15 + 43a + -43a Combine like terms: 30a + -43a = -13a 24 + -13a = -15 + 43a + -43a Combine like terms: 43a + -43a = 0 24 + -13a = -15 + 0 24 + -13a = -15 Add '-24' to each side of the equation. 24 + -24 + -13a = -15 + -24 Combine like terms: 24 + -24 = 0 0 + -13a = -15 + -24 -13a = -15 + -24 Combine like terms: -15 + -24 = -39 -13a = -39 Divide each side by '-13'. a = 3 Simplifying a = 3
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