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Simplifying (3a + -9) = 2a + -10(a + -1) Reorder the terms: (-9 + 3a) = 2a + -10(a + -1) Remove parenthesis around (-9 + 3a) -9 + 3a = 2a + -10(a + -1) Reorder the terms: -9 + 3a = 2a + -10(-1 + a) -9 + 3a = 2a + (-1 * -10 + a * -10) -9 + 3a = 2a + (10 + -10a) Reorder the terms: -9 + 3a = 10 + 2a + -10a Combine like terms: 2a + -10a = -8a -9 + 3a = 10 + -8a Solving -9 + 3a = 10 + -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. -9 + 3a + 8a = 10 + -8a + 8a Combine like terms: 3a + 8a = 11a -9 + 11a = 10 + -8a + 8a Combine like terms: -8a + 8a = 0 -9 + 11a = 10 + 0 -9 + 11a = 10 Add '9' to each side of the equation. -9 + 9 + 11a = 10 + 9 Combine like terms: -9 + 9 = 0 0 + 11a = 10 + 9 11a = 10 + 9 Combine like terms: 10 + 9 = 19 11a = 19 Divide each side by '11'. a = 1.727272727 Simplifying a = 1.727272727
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