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Simplifying 8a + -2(9a + a) = 2(-9a + -5) + -6 Combine like terms: 9a + a = 10a 8a + -2(10a) = 2(-9a + -5) + -6 Remove parenthesis around (10a) 8a + -2 * 10a = 2(-9a + -5) + -6 Multiply -2 * 10 8a + -20a = 2(-9a + -5) + -6 Combine like terms: 8a + -20a = -12a -12a = 2(-9a + -5) + -6 Reorder the terms: -12a = 2(-5 + -9a) + -6 -12a = (-5 * 2 + -9a * 2) + -6 -12a = (-10 + -18a) + -6 Reorder the terms: -12a = -10 + -6 + -18a Combine like terms: -10 + -6 = -16 -12a = -16 + -18a Solving -12a = -16 + -18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18a' to each side of the equation. -12a + 18a = -16 + -18a + 18a Combine like terms: -12a + 18a = 6a 6a = -16 + -18a + 18a Combine like terms: -18a + 18a = 0 6a = -16 + 0 6a = -16 Divide each side by '6'. a = -2.666666667 Simplifying a = -2.666666667
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