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Simplifying -34 + -7a = -8(6a + -6) Reorder the terms: -34 + -7a = -8(-6 + 6a) -34 + -7a = (-6 * -8 + 6a * -8) -34 + -7a = (48 + -48a) Solving -34 + -7a = 48 + -48a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '48a' to each side of the equation. -34 + -7a + 48a = 48 + -48a + 48a Combine like terms: -7a + 48a = 41a -34 + 41a = 48 + -48a + 48a Combine like terms: -48a + 48a = 0 -34 + 41a = 48 + 0 -34 + 41a = 48 Add '34' to each side of the equation. -34 + 34 + 41a = 48 + 34 Combine like terms: -34 + 34 = 0 0 + 41a = 48 + 34 41a = 48 + 34 Combine like terms: 48 + 34 = 82 41a = 82 Divide each side by '41'. a = 2 Simplifying a = 2
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