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Simplifying 9(5 + -9a) = 6(-3 + -3a) (5 * 9 + -9a * 9) = 6(-3 + -3a) (45 + -81a) = 6(-3 + -3a) 45 + -81a = (-3 * 6 + -3a * 6) 45 + -81a = (-18 + -18a) Solving 45 + -81a = -18 + -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. 45 + -81a + 18a = -18 + -18a + 18a Combine like terms: -81a + 18a = -63a 45 + -63a = -18 + -18a + 18a Combine like terms: -18a + 18a = 0 45 + -63a = -18 + 0 45 + -63a = -18 Add '-45' to each side of the equation. 45 + -45 + -63a = -18 + -45 Combine like terms: 45 + -45 = 0 0 + -63a = -18 + -45 -63a = -18 + -45 Combine like terms: -18 + -45 = -63 -63a = -63 Divide each side by '-63'. a = 1 Simplifying a = 1
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