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Simplifying 9(a + -1) = 3(a + 5) + 3a Reorder the terms: 9(-1 + a) = 3(a + 5) + 3a (-1 * 9 + a * 9) = 3(a + 5) + 3a (-9 + 9a) = 3(a + 5) + 3a Reorder the terms: -9 + 9a = 3(5 + a) + 3a -9 + 9a = (5 * 3 + a * 3) + 3a -9 + 9a = (15 + 3a) + 3a Combine like terms: 3a + 3a = 6a -9 + 9a = 15 + 6a Solving -9 + 9a = 15 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -9 + 9a + -6a = 15 + 6a + -6a Combine like terms: 9a + -6a = 3a -9 + 3a = 15 + 6a + -6a Combine like terms: 6a + -6a = 0 -9 + 3a = 15 + 0 -9 + 3a = 15 Add '9' to each side of the equation. -9 + 9 + 3a = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 3a = 15 + 9 3a = 15 + 9 Combine like terms: 15 + 9 = 24 3a = 24 Divide each side by '3'. a = 8 Simplifying a = 8
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