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Simplifying 9a + 5(-3a + -2) = -8 + -8a Reorder the terms: 9a + 5(-2 + -3a) = -8 + -8a 9a + (-2 * 5 + -3a * 5) = -8 + -8a 9a + (-10 + -15a) = -8 + -8a Reorder the terms: -10 + 9a + -15a = -8 + -8a Combine like terms: 9a + -15a = -6a -10 + -6a = -8 + -8a Solving -10 + -6a = -8 + -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. -10 + -6a + 8a = -8 + -8a + 8a Combine like terms: -6a + 8a = 2a -10 + 2a = -8 + -8a + 8a Combine like terms: -8a + 8a = 0 -10 + 2a = -8 + 0 -10 + 2a = -8 Add '10' to each side of the equation. -10 + 10 + 2a = -8 + 10 Combine like terms: -10 + 10 = 0 0 + 2a = -8 + 10 2a = -8 + 10 Combine like terms: -8 + 10 = 2 2a = 2 Divide each side by '2'. a = 1 Simplifying a = 1
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