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Simplifying 0.2(a + b) = 8a (a * 0.2 + b * 0.2) = 8a (0.2a + 0.2b) = 8a Solving 0.2a + 0.2b = 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 0.2a + -8a + 0.2b = 8a + -8a Combine like terms: 0.2a + -8a = -7.8a -7.8a + 0.2b = 8a + -8a Combine like terms: 8a + -8a = 0 -7.8a + 0.2b = 0 Add '-0.2b' to each side of the equation. -7.8a + 0.2b + -0.2b = 0 + -0.2b Combine like terms: 0.2b + -0.2b = 0.0 -7.8a + 0.0 = 0 + -0.2b -7.8a = 0 + -0.2b Remove the zero: -7.8a = -0.2b Divide each side by '-7.8'. a = 0.02564102564b Simplifying a = 0.02564102564b
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