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Simplifying 35 + 5a = -1a + 7(8a + 5) Reorder the terms: 35 + 5a = -1a + 7(5 + 8a) 35 + 5a = -1a + (5 * 7 + 8a * 7) 35 + 5a = -1a + (35 + 56a) Reorder the terms: 35 + 5a = 35 + -1a + 56a Combine like terms: -1a + 56a = 55a 35 + 5a = 35 + 55a Add '-35' to each side of the equation. 35 + -35 + 5a = 35 + -35 + 55a Combine like terms: 35 + -35 = 0 0 + 5a = 35 + -35 + 55a 5a = 35 + -35 + 55a Combine like terms: 35 + -35 = 0 5a = 0 + 55a 5a = 55a Solving 5a = 55a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-55a' to each side of the equation. 5a + -55a = 55a + -55a Combine like terms: 5a + -55a = -50a -50a = 55a + -55a Combine like terms: 55a + -55a = 0 -50a = 0 Divide each side by '-50'. a = 0.0 Simplifying a = 0.0
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