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Simplifying -8a + -1a = -6(a + -2) + 6(8 + -3a) Combine like terms: -8a + -1a = -9a -9a = -6(a + -2) + 6(8 + -3a) Reorder the terms: -9a = -6(-2 + a) + 6(8 + -3a) -9a = (-2 * -6 + a * -6) + 6(8 + -3a) -9a = (12 + -6a) + 6(8 + -3a) -9a = 12 + -6a + (8 * 6 + -3a * 6) -9a = 12 + -6a + (48 + -18a) Reorder the terms: -9a = 12 + 48 + -6a + -18a Combine like terms: 12 + 48 = 60 -9a = 60 + -6a + -18a Combine like terms: -6a + -18a = -24a -9a = 60 + -24a Solving -9a = 60 + -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. -9a + 24a = 60 + -24a + 24a Combine like terms: -9a + 24a = 15a 15a = 60 + -24a + 24a Combine like terms: -24a + 24a = 0 15a = 60 + 0 15a = 60 Divide each side by '15'. a = 4 Simplifying a = 4
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