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Simplifying -29 + 7a = -7(-2 + -8a) + -6a -29 + 7a = (-2 * -7 + -8a * -7) + -6a -29 + 7a = (14 + 56a) + -6a Combine like terms: 56a + -6a = 50a -29 + 7a = 14 + 50a Solving -29 + 7a = 14 + 50a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-50a' to each side of the equation. -29 + 7a + -50a = 14 + 50a + -50a Combine like terms: 7a + -50a = -43a -29 + -43a = 14 + 50a + -50a Combine like terms: 50a + -50a = 0 -29 + -43a = 14 + 0 -29 + -43a = 14 Add '29' to each side of the equation. -29 + 29 + -43a = 14 + 29 Combine like terms: -29 + 29 = 0 0 + -43a = 14 + 29 -43a = 14 + 29 Combine like terms: 14 + 29 = 43 -43a = 43 Divide each side by '-43'. a = -1 Simplifying a = -1
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