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Simplifying 9a + 45 = 13a + a Reorder the terms: 45 + 9a = 13a + a Combine like terms: 13a + a = 14a 45 + 9a = 14a Solving 45 + 9a = 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. 45 + 9a + -14a = 14a + -14a Combine like terms: 9a + -14a = -5a 45 + -5a = 14a + -14a Combine like terms: 14a + -14a = 0 45 + -5a = 0 Add '-45' to each side of the equation. 45 + -45 + -5a = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -5a = 0 + -45 -5a = 0 + -45 Combine like terms: 0 + -45 = -45 -5a = -45 Divide each side by '-5'. a = 9 Simplifying a = 9
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