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Simplifying -3.5(-4 + -9a) = 30 + 43.5a (-4 * -3.5 + -9a * -3.5) = 30 + 43.5a (14 + 31.5a) = 30 + 43.5a Solving 14 + 31.5a = 30 + 43.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-43.5a' to each side of the equation. 14 + 31.5a + -43.5a = 30 + 43.5a + -43.5a Combine like terms: 31.5a + -43.5a = -12a 14 + -12a = 30 + 43.5a + -43.5a Combine like terms: 43.5a + -43.5a = 0.0 14 + -12a = 30 + 0.0 14 + -12a = 30 Add '-14' to each side of the equation. 14 + -14 + -12a = 30 + -14 Combine like terms: 14 + -14 = 0 0 + -12a = 30 + -14 -12a = 30 + -14 Combine like terms: 30 + -14 = 16 -12a = 16 Divide each side by '-12'. a = -1.333333333 Simplifying a = -1.333333333
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