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Simplifying 45 + -5a = -10a Solving 45 + -5a = -10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10a' to each side of the equation. 45 + -5a + 10a = -10a + 10a Combine like terms: -5a + 10a = 5a 45 + 5a = -10a + 10a Combine like terms: -10a + 10a = 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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