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Simplifying -13a + -8 + 7a = 34 + 9a + -2 Reorder the terms: -8 + -13a + 7a = 34 + 9a + -2 Combine like terms: -13a + 7a = -6a -8 + -6a = 34 + 9a + -2 Reorder the terms: -8 + -6a = 34 + -2 + 9a Combine like terms: 34 + -2 = 32 -8 + -6a = 32 + 9a Solving -8 + -6a = 32 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -8 + -6a + -9a = 32 + 9a + -9a Combine like terms: -6a + -9a = -15a -8 + -15a = 32 + 9a + -9a Combine like terms: 9a + -9a = 0 -8 + -15a = 32 + 0 -8 + -15a = 32 Add '8' to each side of the equation. -8 + 8 + -15a = 32 + 8 Combine like terms: -8 + 8 = 0 0 + -15a = 32 + 8 -15a = 32 + 8 Combine like terms: 32 + 8 = 40 -15a = 40 Divide each side by '-15'. a = -2.666666667 Simplifying a = -2.666666667
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