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Simplifying 34 + 6a = -8(-6a + 1) Reorder the terms: 34 + 6a = -8(1 + -6a) 34 + 6a = (1 * -8 + -6a * -8) 34 + 6a = (-8 + 48a) Solving 34 + 6a = -8 + 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 + 6a + -48a = -8 + 48a + -48a Combine like terms: 6a + -48a = -42a 34 + -42a = -8 + 48a + -48a Combine like terms: 48a + -48a = 0 34 + -42a = -8 + 0 34 + -42a = -8 Add '-34' to each side of the equation. 34 + -34 + -42a = -8 + -34 Combine like terms: 34 + -34 = 0 0 + -42a = -8 + -34 -42a = -8 + -34 Combine like terms: -8 + -34 = -42 -42a = -42 Divide each side by '-42'. a = 1 Simplifying a = 1
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