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Simplifying 2a + -5b = 6a + 13b + -1 Reorder the terms: 2a + -5b = -1 + 6a + 13b Solving 2a + -5b = -1 + 6a + 13b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 2a + -6a + -5b = -1 + 6a + -6a + 13b Combine like terms: 2a + -6a = -4a -4a + -5b = -1 + 6a + -6a + 13b Combine like terms: 6a + -6a = 0 -4a + -5b = -1 + 0 + 13b -4a + -5b = -1 + 13b Add '5b' to each side of the equation. -4a + -5b + 5b = -1 + 13b + 5b Combine like terms: -5b + 5b = 0 -4a + 0 = -1 + 13b + 5b -4a = -1 + 13b + 5b Combine like terms: 13b + 5b = 18b -4a = -1 + 18b Divide each side by '-4'. a = 0.25 + -4.5b Simplifying a = 0.25 + -4.5b
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