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Simplifying 0.5a + 9 = 2a + -6 Reorder the terms: 9 + 0.5a = 2a + -6 Reorder the terms: 9 + 0.5a = -6 + 2a Solving 9 + 0.5a = -6 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 9 + 0.5a + -2a = -6 + 2a + -2a Combine like terms: 0.5a + -2a = -1.5a 9 + -1.5a = -6 + 2a + -2a Combine like terms: 2a + -2a = 0 9 + -1.5a = -6 + 0 9 + -1.5a = -6 Add '-9' to each side of the equation. 9 + -9 + -1.5a = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -1.5a = -6 + -9 -1.5a = -6 + -9 Combine like terms: -6 + -9 = -15 -1.5a = -15 Divide each side by '-1.5'. a = 10 Simplifying a = 10
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