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Simplifying -8(7a + 6) = 34 + -9a Reorder the terms: -8(6 + 7a) = 34 + -9a (6 * -8 + 7a * -8) = 34 + -9a (-48 + -56a) = 34 + -9a Solving -48 + -56a = 34 + -9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9a' to each side of the equation. -48 + -56a + 9a = 34 + -9a + 9a Combine like terms: -56a + 9a = -47a -48 + -47a = 34 + -9a + 9a Combine like terms: -9a + 9a = 0 -48 + -47a = 34 + 0 -48 + -47a = 34 Add '48' to each side of the equation. -48 + 48 + -47a = 34 + 48 Combine like terms: -48 + 48 = 0 0 + -47a = 34 + 48 -47a = 34 + 48 Combine like terms: 34 + 48 = 82 -47a = 82 Divide each side by '-47'. a = -1.744680851 Simplifying a = -1.744680851
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