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Simplifying -7(1 + 5a) = -7(1 + 6a) + -5a (1 * -7 + 5a * -7) = -7(1 + 6a) + -5a (-7 + -35a) = -7(1 + 6a) + -5a -7 + -35a = (1 * -7 + 6a * -7) + -5a -7 + -35a = (-7 + -42a) + -5a Combine like terms: -42a + -5a = -47a -7 + -35a = -7 + -47a Add '7' to each side of the equation. -7 + 7 + -35a = -7 + 7 + -47a Combine like terms: -7 + 7 = 0 0 + -35a = -7 + 7 + -47a -35a = -7 + 7 + -47a Combine like terms: -7 + 7 = 0 -35a = 0 + -47a -35a = -47a Solving -35a = -47a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '47a' to each side of the equation. -35a + 47a = -47a + 47a Combine like terms: -35a + 47a = 12a 12a = -47a + 47a Combine like terms: -47a + 47a = 0 12a = 0 Divide each side by '12'. a = 0 Simplifying a = 0
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