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Simplifying 6(5 + -6a) + a = -9 + 4a (5 * 6 + -6a * 6) + a = -9 + 4a (30 + -36a) + a = -9 + 4a Combine like terms: -36a + a = -35a 30 + -35a = -9 + 4a Solving 30 + -35a = -9 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 30 + -35a + -4a = -9 + 4a + -4a Combine like terms: -35a + -4a = -39a 30 + -39a = -9 + 4a + -4a Combine like terms: 4a + -4a = 0 30 + -39a = -9 + 0 30 + -39a = -9 Add '-30' to each side of the equation. 30 + -30 + -39a = -9 + -30 Combine like terms: 30 + -30 = 0 0 + -39a = -9 + -30 -39a = -9 + -30 Combine like terms: -9 + -30 = -39 -39a = -39 Divide each side by '-39'. a = 1 Simplifying a = 1
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