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Simplifying 5a + 3b = 6b + -10a Reorder the terms: 5a + 3b = -10a + 6b Solving 5a + 3b = -10a + 6b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10a' to each side of the equation. 5a + 10a + 3b = -10a + 10a + 6b Combine like terms: 5a + 10a = 15a 15a + 3b = -10a + 10a + 6b Combine like terms: -10a + 10a = 0 15a + 3b = 0 + 6b 15a + 3b = 6b Add '-3b' to each side of the equation. 15a + 3b + -3b = 6b + -3b Combine like terms: 3b + -3b = 0 15a + 0 = 6b + -3b 15a = 6b + -3b Combine like terms: 6b + -3b = 3b 15a = 3b Divide each side by '15'. a = 0.2b Simplifying a = 0.2b
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