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Simplifying 0.5a + 0.6 = a + 5 + a Reorder the terms: 0.6 + 0.5a = a + 5 + a Reorder the terms: 0.6 + 0.5a = 5 + a + a Combine like terms: a + a = 2a 0.6 + 0.5a = 5 + 2a Solving 0.6 + 0.5a = 5 + 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. 0.6 + 0.5a + -2a = 5 + 2a + -2a Combine like terms: 0.5a + -2a = -1.5a 0.6 + -1.5a = 5 + 2a + -2a Combine like terms: 2a + -2a = 0 0.6 + -1.5a = 5 + 0 0.6 + -1.5a = 5 Add '-0.6' to each side of the equation. 0.6 + -0.6 + -1.5a = 5 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -1.5a = 5 + -0.6 -1.5a = 5 + -0.6 Combine like terms: 5 + -0.6 = 4.4 -1.5a = 4.4 Divide each side by '-1.5'. a = -2.933333333 Simplifying a = -2.933333333
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