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Simplifying 0.5 = -14.5a + 1.5(9a + -1) Reorder the terms: 0.5 = -14.5a + 1.5(-1 + 9a) 0.5 = -14.5a + (-1 * 1.5 + 9a * 1.5) 0.5 = -14.5a + (-1.5 + 13.5a) Reorder the terms: 0.5 = -1.5 + -14.5a + 13.5a Combine like terms: -14.5a + 13.5a = -1a 0.5 = -1.5 + -1a Solving 0.5 = -1.5 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 0.5 + a = -1.5 + -1a + a Combine like terms: -1a + a = 0 0.5 + a = -1.5 + 0 0.5 + a = -1.5 Add '-0.5' to each side of the equation. 0.5 + -0.5 + a = -1.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + a = -1.5 + -0.5 a = -1.5 + -0.5 Combine like terms: -1.5 + -0.5 = -2 a = -2 Simplifying a = -2
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