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Simplifying 10(9a + 6) = 3(8a + -2) Reorder the terms: 10(6 + 9a) = 3(8a + -2) (6 * 10 + 9a * 10) = 3(8a + -2) (60 + 90a) = 3(8a + -2) Reorder the terms: 60 + 90a = 3(-2 + 8a) 60 + 90a = (-2 * 3 + 8a * 3) 60 + 90a = (-6 + 24a) Solving 60 + 90a = -6 + 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. 60 + 90a + -24a = -6 + 24a + -24a Combine like terms: 90a + -24a = 66a 60 + 66a = -6 + 24a + -24a Combine like terms: 24a + -24a = 0 60 + 66a = -6 + 0 60 + 66a = -6 Add '-60' to each side of the equation. 60 + -60 + 66a = -6 + -60 Combine like terms: 60 + -60 = 0 0 + 66a = -6 + -60 66a = -6 + -60 Combine like terms: -6 + -60 = -66 66a = -66 Divide each side by '66'. a = -1 Simplifying a = -1
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