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Simplifying a + -13 + 4a = -1a + 9 Reorder the terms: -13 + a + 4a = -1a + 9 Combine like terms: a + 4a = 5a -13 + 5a = -1a + 9 Reorder the terms: -13 + 5a = 9 + -1a Solving -13 + 5a = 9 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -13 + 5a + a = 9 + -1a + a Combine like terms: 5a + a = 6a -13 + 6a = 9 + -1a + a Combine like terms: -1a + a = 0 -13 + 6a = 9 + 0 -13 + 6a = 9 Add '13' to each side of the equation. -13 + 13 + 6a = 9 + 13 Combine like terms: -13 + 13 = 0 0 + 6a = 9 + 13 6a = 9 + 13 Combine like terms: 9 + 13 = 22 6a = 22 Divide each side by '6'. a = 3.666666667 Simplifying a = 3.666666667
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