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Simplifying 2(a + -9) = 42 + -8a Reorder the terms: 2(-9 + a) = 42 + -8a (-9 * 2 + a * 2) = 42 + -8a (-18 + 2a) = 42 + -8a Solving -18 + 2a = 42 + -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. -18 + 2a + 8a = 42 + -8a + 8a Combine like terms: 2a + 8a = 10a -18 + 10a = 42 + -8a + 8a Combine like terms: -8a + 8a = 0 -18 + 10a = 42 + 0 -18 + 10a = 42 Add '18' to each side of the equation. -18 + 18 + 10a = 42 + 18 Combine like terms: -18 + 18 = 0 0 + 10a = 42 + 18 10a = 42 + 18 Combine like terms: 42 + 18 = 60 10a = 60 Divide each side by '10'. a = 6 Simplifying a = 6
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