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Simplifying -34 + 8a = 6(a + -8) Reorder the terms: -34 + 8a = 6(-8 + a) -34 + 8a = (-8 * 6 + a * 6) -34 + 8a = (-48 + 6a) Solving -34 + 8a = -48 + 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. -34 + 8a + -6a = -48 + 6a + -6a Combine like terms: 8a + -6a = 2a -34 + 2a = -48 + 6a + -6a Combine like terms: 6a + -6a = 0 -34 + 2a = -48 + 0 -34 + 2a = -48 Add '34' to each side of the equation. -34 + 34 + 2a = -48 + 34 Combine like terms: -34 + 34 = 0 0 + 2a = -48 + 34 2a = -48 + 34 Combine like terms: -48 + 34 = -14 2a = -14 Divide each side by '2'. a = -7 Simplifying a = -7
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