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Simplifying -5(1 + -7a) = -5 + -4a (1 * -5 + -7a * -5) = -5 + -4a (-5 + 35a) = -5 + -4a Add '5' to each side of the equation. -5 + 5 + 35a = -5 + 5 + -4a Combine like terms: -5 + 5 = 0 0 + 35a = -5 + 5 + -4a 35a = -5 + 5 + -4a Combine like terms: -5 + 5 = 0 35a = 0 + -4a 35a = -4a Solving 35a = -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 35a + 4a = -4a + 4a Combine like terms: 35a + 4a = 39a 39a = -4a + 4a Combine like terms: -4a + 4a = 0 39a = 0 Divide each side by '39'. a = 0 Simplifying a = 0
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