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Simplifying -7(-1a + -7) + (9a + 5) = 0 Reorder the terms: -7(-7 + -1a) + (9a + 5) = 0 (-7 * -7 + -1a * -7) + (9a + 5) = 0 (49 + 7a) + (9a + 5) = 0 Reorder the terms: 49 + 7a + (5 + 9a) = 0 Remove parenthesis around (5 + 9a) 49 + 7a + 5 + 9a = 0 Reorder the terms: 49 + 5 + 7a + 9a = 0 Combine like terms: 49 + 5 = 54 54 + 7a + 9a = 0 Combine like terms: 7a + 9a = 16a 54 + 16a = 0 Solving 54 + 16a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 16a = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 16a = 0 + -54 16a = 0 + -54 Combine like terms: 0 + -54 = -54 16a = -54 Divide each side by '16'. a = -3.375 Simplifying a = -3.375
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