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Simplifying 8(5a + 3) = 4(4a + -6) Reorder the terms: 8(3 + 5a) = 4(4a + -6) (3 * 8 + 5a * 8) = 4(4a + -6) (24 + 40a) = 4(4a + -6) Reorder the terms: 24 + 40a = 4(-6 + 4a) 24 + 40a = (-6 * 4 + 4a * 4) 24 + 40a = (-24 + 16a) Solving 24 + 40a = -24 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. 24 + 40a + -16a = -24 + 16a + -16a Combine like terms: 40a + -16a = 24a 24 + 24a = -24 + 16a + -16a Combine like terms: 16a + -16a = 0 24 + 24a = -24 + 0 24 + 24a = -24 Add '-24' to each side of the equation. 24 + -24 + 24a = -24 + -24 Combine like terms: 24 + -24 = 0 0 + 24a = -24 + -24 24a = -24 + -24 Combine like terms: -24 + -24 = -48 24a = -48 Divide each side by '24'. a = -2 Simplifying a = -2
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