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Simplifying a + -9b = 2a + -1b + 13 Reorder the terms: a + -9b = 13 + 2a + -1b Solving a + -9b = 13 + 2a + -1b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. a + -2a + -9b = 13 + 2a + -2a + -1b Combine like terms: a + -2a = -1a -1a + -9b = 13 + 2a + -2a + -1b Combine like terms: 2a + -2a = 0 -1a + -9b = 13 + 0 + -1b -1a + -9b = 13 + -1b Add '9b' to each side of the equation. -1a + -9b + 9b = 13 + -1b + 9b Combine like terms: -9b + 9b = 0 -1a + 0 = 13 + -1b + 9b -1a = 13 + -1b + 9b Combine like terms: -1b + 9b = 8b -1a = 13 + 8b Divide each side by '-1'. a = -13 + -8b Simplifying a = -13 + -8b
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