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Simplifying -2a + 9 = 6a + 13 Reorder the terms: 9 + -2a = 6a + 13 Reorder the terms: 9 + -2a = 13 + 6a Solving 9 + -2a = 13 + 6a 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. 9 + -2a + -6a = 13 + 6a + -6a Combine like terms: -2a + -6a = -8a 9 + -8a = 13 + 6a + -6a Combine like terms: 6a + -6a = 0 9 + -8a = 13 + 0 9 + -8a = 13 Add '-9' to each side of the equation. 9 + -9 + -8a = 13 + -9 Combine like terms: 9 + -9 = 0 0 + -8a = 13 + -9 -8a = 13 + -9 Combine like terms: 13 + -9 = 4 -8a = 4 Divide each side by '-8'. a = -0.5 Simplifying a = -0.5
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