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Simplifying -7(1 + -5a) = -1(a + 7) + -10a (1 * -7 + -5a * -7) = -1(a + 7) + -10a (-7 + 35a) = -1(a + 7) + -10a Reorder the terms: -7 + 35a = -1(7 + a) + -10a -7 + 35a = (7 * -1 + a * -1) + -10a -7 + 35a = (-7 + -1a) + -10a Combine like terms: -1a + -10a = -11a -7 + 35a = -7 + -11a Add '7' to each side of the equation. -7 + 7 + 35a = -7 + 7 + -11a Combine like terms: -7 + 7 = 0 0 + 35a = -7 + 7 + -11a 35a = -7 + 7 + -11a Combine like terms: -7 + 7 = 0 35a = 0 + -11a 35a = -11a Solving 35a = -11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11a' to each side of the equation. 35a + 11a = -11a + 11a Combine like terms: 35a + 11a = 46a 46a = -11a + 11a Combine like terms: -11a + 11a = 0 46a = 0 Divide each side by '46'. a = 0 Simplifying a = 0
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