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Simplifying a + 4b = 5b + -3a Reorder the terms: a + 4b = -3a + 5b Solving a + 4b = -3a + 5b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. a + 3a + 4b = -3a + 3a + 5b Combine like terms: a + 3a = 4a 4a + 4b = -3a + 3a + 5b Combine like terms: -3a + 3a = 0 4a + 4b = 0 + 5b 4a + 4b = 5b Add '-4b' to each side of the equation. 4a + 4b + -4b = 5b + -4b Combine like terms: 4b + -4b = 0 4a + 0 = 5b + -4b 4a = 5b + -4b Combine like terms: 5b + -4b = 1b 4a = 1b Divide each side by '4'. a = 0.25b Simplifying a = 0.25b
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