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Simplifying 6(4a + -5) = 4(2a + 3) Reorder the terms: 6(-5 + 4a) = 4(2a + 3) (-5 * 6 + 4a * 6) = 4(2a + 3) (-30 + 24a) = 4(2a + 3) Reorder the terms: -30 + 24a = 4(3 + 2a) -30 + 24a = (3 * 4 + 2a * 4) -30 + 24a = (12 + 8a) Solving -30 + 24a = 12 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -30 + 24a + -8a = 12 + 8a + -8a Combine like terms: 24a + -8a = 16a -30 + 16a = 12 + 8a + -8a Combine like terms: 8a + -8a = 0 -30 + 16a = 12 + 0 -30 + 16a = 12 Add '30' to each side of the equation. -30 + 30 + 16a = 12 + 30 Combine like terms: -30 + 30 = 0 0 + 16a = 12 + 30 16a = 12 + 30 Combine like terms: 12 + 30 = 42 16a = 42 Divide each side by '16'. a = 2.625 Simplifying a = 2.625
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