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Simplifying 45 + -5a = 13 + -9a Solving 45 + -5a = 13 + -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. 45 + -5a + 9a = 13 + -9a + 9a Combine like terms: -5a + 9a = 4a 45 + 4a = 13 + -9a + 9a Combine like terms: -9a + 9a = 0 45 + 4a = 13 + 0 45 + 4a = 13 Add '-45' to each side of the equation. 45 + -45 + 4a = 13 + -45 Combine like terms: 45 + -45 = 0 0 + 4a = 13 + -45 4a = 13 + -45 Combine like terms: 13 + -45 = -32 4a = -32 Divide each side by '4'. a = -8 Simplifying a = -8
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