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Simplifying 3(a + 5) = 9a + -9 Reorder the terms: 3(5 + a) = 9a + -9 (5 * 3 + a * 3) = 9a + -9 (15 + 3a) = 9a + -9 Reorder the terms: 15 + 3a = -9 + 9a Solving 15 + 3a = -9 + 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. 15 + 3a + -9a = -9 + 9a + -9a Combine like terms: 3a + -9a = -6a 15 + -6a = -9 + 9a + -9a Combine like terms: 9a + -9a = 0 15 + -6a = -9 + 0 15 + -6a = -9 Add '-15' to each side of the equation. 15 + -15 + -6a = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -6a = -9 + -15 -6a = -9 + -15 Combine like terms: -9 + -15 = -24 -6a = -24 Divide each side by '-6'. a = 4 Simplifying a = 4
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