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Simplifying 5a + -3.5(-4 + -9a) = 22 + 42.5a 5a + (-4 * -3.5 + -9a * -3.5) = 22 + 42.5a 5a + (14 + 31.5a) = 22 + 42.5a Reorder the terms: 14 + 5a + 31.5a = 22 + 42.5a Combine like terms: 5a + 31.5a = 36.5a 14 + 36.5a = 22 + 42.5a Solving 14 + 36.5a = 22 + 42.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42.5a' to each side of the equation. 14 + 36.5a + -42.5a = 22 + 42.5a + -42.5a Combine like terms: 36.5a + -42.5a = -6a 14 + -6a = 22 + 42.5a + -42.5a Combine like terms: 42.5a + -42.5a = 0.0 14 + -6a = 22 + 0.0 14 + -6a = 22 Add '-14' to each side of the equation. 14 + -14 + -6a = 22 + -14 Combine like terms: 14 + -14 = 0 0 + -6a = 22 + -14 -6a = 22 + -14 Combine like terms: 22 + -14 = 8 -6a = 8 Divide each side by '-6'. a = -1.333333333 Simplifying a = -1.333333333
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