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Simplifying -36 + -6a = 7(1 + -7a) -36 + -6a = (1 * 7 + -7a * 7) -36 + -6a = (7 + -49a) Solving -36 + -6a = 7 + -49a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '49a' to each side of the equation. -36 + -6a + 49a = 7 + -49a + 49a Combine like terms: -6a + 49a = 43a -36 + 43a = 7 + -49a + 49a Combine like terms: -49a + 49a = 0 -36 + 43a = 7 + 0 -36 + 43a = 7 Add '36' to each side of the equation. -36 + 36 + 43a = 7 + 36 Combine like terms: -36 + 36 = 0 0 + 43a = 7 + 36 43a = 7 + 36 Combine like terms: 7 + 36 = 43 43a = 43 Divide each side by '43'. a = 1 Simplifying a = 1
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