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Simplifying 9(5a + 10) + -9a = a + -3(a + 8) Reorder the terms: 9(10 + 5a) + -9a = a + -3(a + 8) (10 * 9 + 5a * 9) + -9a = a + -3(a + 8) (90 + 45a) + -9a = a + -3(a + 8) Combine like terms: 45a + -9a = 36a 90 + 36a = a + -3(a + 8) Reorder the terms: 90 + 36a = a + -3(8 + a) 90 + 36a = a + (8 * -3 + a * -3) 90 + 36a = a + (-24 + -3a) Reorder the terms: 90 + 36a = -24 + a + -3a Combine like terms: a + -3a = -2a 90 + 36a = -24 + -2a Solving 90 + 36a = -24 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 90 + 36a + 2a = -24 + -2a + 2a Combine like terms: 36a + 2a = 38a 90 + 38a = -24 + -2a + 2a Combine like terms: -2a + 2a = 0 90 + 38a = -24 + 0 90 + 38a = -24 Add '-90' to each side of the equation. 90 + -90 + 38a = -24 + -90 Combine like terms: 90 + -90 = 0 0 + 38a = -24 + -90 38a = -24 + -90 Combine like terms: -24 + -90 = -114 38a = -114 Divide each side by '38'. a = -3 Simplifying a = -3
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