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Simplifying -35 + 5a = 4a + 5(7a + -7) Reorder the terms: -35 + 5a = 4a + 5(-7 + 7a) -35 + 5a = 4a + (-7 * 5 + 7a * 5) -35 + 5a = 4a + (-35 + 35a) Reorder the terms: -35 + 5a = -35 + 4a + 35a Combine like terms: 4a + 35a = 39a -35 + 5a = -35 + 39a Add '35' to each side of the equation. -35 + 35 + 5a = -35 + 35 + 39a Combine like terms: -35 + 35 = 0 0 + 5a = -35 + 35 + 39a 5a = -35 + 35 + 39a Combine like terms: -35 + 35 = 0 5a = 0 + 39a 5a = 39a Solving 5a = 39a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-39a' to each side of the equation. 5a + -39a = 39a + -39a Combine like terms: 5a + -39a = -34a -34a = 39a + -39a Combine like terms: 39a + -39a = 0 -34a = 0 Divide each side by '-34'. a = 0 Simplifying a = 0
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