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Simplifying 9a + -5(a + -3) = 5a Reorder the terms: 9a + -5(-3 + a) = 5a 9a + (-3 * -5 + a * -5) = 5a 9a + (15 + -5a) = 5a Reorder the terms: 15 + 9a + -5a = 5a Combine like terms: 9a + -5a = 4a 15 + 4a = 5a Solving 15 + 4a = 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 15 + 4a + -5a = 5a + -5a Combine like terms: 4a + -5a = -1a 15 + -1a = 5a + -5a Combine like terms: 5a + -5a = 0 15 + -1a = 0 Add '-15' to each side of the equation. 15 + -15 + -1a = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1a = 0 + -15 -1a = 0 + -15 Combine like terms: 0 + -15 = -15 -1a = -15 Divide each side by '-1'. a = 15 Simplifying a = 15
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