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Simplifying 0.1a + 0.6(35 + -1a) = 8 0.1a + (35 * 0.6 + -1a * 0.6) = 8 0.1a + (21 + -0.6a) = 8 Reorder the terms: 21 + 0.1a + -0.6a = 8 Combine like terms: 0.1a + -0.6a = -0.5a 21 + -0.5a = 8 Solving 21 + -0.5a = 8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -0.5a = 8 + -21 Combine like terms: 21 + -21 = 0 0 + -0.5a = 8 + -21 -0.5a = 8 + -21 Combine like terms: 8 + -21 = -13 -0.5a = -13 Divide each side by '-0.5'. a = 26 Simplifying a = 26
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