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Simplifying -13a + 14(6 + 8a + -9) + 2a = 0 Reorder the terms: -13a + 14(6 + -9 + 8a) + 2a = 0 Combine like terms: 6 + -9 = -3 -13a + 14(-3 + 8a) + 2a = 0 -13a + (-3 * 14 + 8a * 14) + 2a = 0 -13a + (-42 + 112a) + 2a = 0 Reorder the terms: -42 + -13a + 112a + 2a = 0 Combine like terms: -13a + 112a = 99a -42 + 99a + 2a = 0 Combine like terms: 99a + 2a = 101a -42 + 101a = 0 Solving -42 + 101a = 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 + 101a = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 101a = 0 + 42 101a = 0 + 42 Combine like terms: 0 + 42 = 42 101a = 42 Divide each side by '101'. a = 0.4158415842 Simplifying a = 0.4158415842
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