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Simplifying 0.5a + -6 = 3 + 1a Reorder the terms: -6 + 0.5a = 3 + 1a Solving -6 + 0.5a = 3 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -6 + 0.5a + -1a = 3 + 1a + -1a Combine like terms: 0.5a + -1a = -0.5a -6 + -0.5a = 3 + 1a + -1a Combine like terms: 1a + -1a = 0 -6 + -0.5a = 3 + 0 -6 + -0.5a = 3 Add '6' to each side of the equation. -6 + 6 + -0.5a = 3 + 6 Combine like terms: -6 + 6 = 0 0 + -0.5a = 3 + 6 -0.5a = 3 + 6 Combine like terms: 3 + 6 = 9 -0.5a = 9 Divide each side by '-0.5'. a = -18 Simplifying a = -18
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