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Simplifying a + -0.5 = 2a + -6 Reorder the terms: -0.5 + a = 2a + -6 Reorder the terms: -0.5 + a = -6 + 2a Solving -0.5 + a = -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. -0.5 + a + -2a = -6 + 2a + -2a Combine like terms: a + -2a = -1a -0.5 + -1a = -6 + 2a + -2a Combine like terms: 2a + -2a = 0 -0.5 + -1a = -6 + 0 -0.5 + -1a = -6 Add '0.5' to each side of the equation. -0.5 + 0.5 + -1a = -6 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -1a = -6 + 0.5 -1a = -6 + 0.5 Combine like terms: -6 + 0.5 = -5.5 -1a = -5.5 Divide each side by '-1'. a = 5.5 Simplifying a = 5.5
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