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Simplifying -10(3a + -6) = -3a + -11(6a + -9) Reorder the terms: -10(-6 + 3a) = -3a + -11(6a + -9) (-6 * -10 + 3a * -10) = -3a + -11(6a + -9) (60 + -30a) = -3a + -11(6a + -9) Reorder the terms: 60 + -30a = -3a + -11(-9 + 6a) 60 + -30a = -3a + (-9 * -11 + 6a * -11) 60 + -30a = -3a + (99 + -66a) Reorder the terms: 60 + -30a = 99 + -3a + -66a Combine like terms: -3a + -66a = -69a 60 + -30a = 99 + -69a Solving 60 + -30a = 99 + -69a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '69a' to each side of the equation. 60 + -30a + 69a = 99 + -69a + 69a Combine like terms: -30a + 69a = 39a 60 + 39a = 99 + -69a + 69a Combine like terms: -69a + 69a = 0 60 + 39a = 99 + 0 60 + 39a = 99 Add '-60' to each side of the equation. 60 + -60 + 39a = 99 + -60 Combine like terms: 60 + -60 = 0 0 + 39a = 99 + -60 39a = 99 + -60 Combine like terms: 99 + -60 = 39 39a = 39 Divide each side by '39'. a = 1 Simplifying a = 1
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