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Simplifying 9a + -6(a + 7) = 0 Reorder the terms: 9a + -6(7 + a) = 0 9a + (7 * -6 + a * -6) = 0 9a + (-42 + -6a) = 0 Reorder the terms: -42 + 9a + -6a = 0 Combine like terms: 9a + -6a = 3a -42 + 3a = 0 Solving -42 + 3a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 3a = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 3a = 0 + 42 3a = 0 + 42 Combine like terms: 0 + 42 = 42 3a = 42 Divide each side by '3'. a = 14 Simplifying a = 14
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