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Simplifying -7(1 + 7a) = -7 + -6a (1 * -7 + 7a * -7) = -7 + -6a (-7 + -49a) = -7 + -6a Add '7' to each side of the equation. -7 + 7 + -49a = -7 + 7 + -6a Combine like terms: -7 + 7 = 0 0 + -49a = -7 + 7 + -6a -49a = -7 + 7 + -6a Combine like terms: -7 + 7 = 0 -49a = 0 + -6a -49a = -6a Solving -49a = -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -49a + 6a = -6a + 6a Combine like terms: -49a + 6a = -43a -43a = -6a + 6a Combine like terms: -6a + 6a = 0 -43a = 0 Divide each side by '-43'. a = 0 Simplifying a = 0
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