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Simplifying a + -5 = 0.1a + 4 Reorder the terms: -5 + a = 0.1a + 4 Reorder the terms: -5 + a = 4 + 0.1a Solving -5 + a = 4 + 0.1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.1a' to each side of the equation. -5 + a + -0.1a = 4 + 0.1a + -0.1a Combine like terms: a + -0.1a = 0.9a -5 + 0.9a = 4 + 0.1a + -0.1a Combine like terms: 0.1a + -0.1a = 0.0 -5 + 0.9a = 4 + 0.0 -5 + 0.9a = 4 Add '5' to each side of the equation. -5 + 5 + 0.9a = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 0.9a = 4 + 5 0.9a = 4 + 5 Combine like terms: 4 + 5 = 9 0.9a = 9 Divide each side by '0.9'. a = 10 Simplifying a = 10
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