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Simplifying -343 = -5(-5 + -8a) + 6a -343 = (-5 * -5 + -8a * -5) + 6a -343 = (25 + 40a) + 6a Combine like terms: 40a + 6a = 46a -343 = 25 + 46a Solving -343 = 25 + 46a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-46a' to each side of the equation. -343 + -46a = 25 + 46a + -46a Combine like terms: 46a + -46a = 0 -343 + -46a = 25 + 0 -343 + -46a = 25 Add '343' to each side of the equation. -343 + 343 + -46a = 25 + 343 Combine like terms: -343 + 343 = 0 0 + -46a = 25 + 343 -46a = 25 + 343 Combine like terms: 25 + 343 = 368 -46a = 368 Divide each side by '-46'. a = -8 Simplifying a = -8
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