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Simplifying 0.42 = 4a + 5b Solving 0.42 = 4a + 5b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 0.42 + -4a = 4a + -4a + 5b Combine like terms: 4a + -4a = 0 0.42 + -4a = 0 + 5b 0.42 + -4a = 5b Add '-0.42' to each side of the equation. 0.42 + -0.42 + -4a = -0.42 + 5b Combine like terms: 0.42 + -0.42 = 0.00 0.00 + -4a = -0.42 + 5b -4a = -0.42 + 5b Divide each side by '-4'. a = 0.105 + -1.25b Simplifying a = 0.105 + -1.25b
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