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Simplifying -35 + 5a = 5(1 + -7a) -35 + 5a = (1 * 5 + -7a * 5) -35 + 5a = (5 + -35a) Solving -35 + 5a = 5 + -35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '35a' to each side of the equation. -35 + 5a + 35a = 5 + -35a + 35a Combine like terms: 5a + 35a = 40a -35 + 40a = 5 + -35a + 35a Combine like terms: -35a + 35a = 0 -35 + 40a = 5 + 0 -35 + 40a = 5 Add '35' to each side of the equation. -35 + 35 + 40a = 5 + 35 Combine like terms: -35 + 35 = 0 0 + 40a = 5 + 35 40a = 5 + 35 Combine like terms: 5 + 35 = 40 40a = 40 Divide each side by '40'. a = 1 Simplifying a = 1
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