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Simplifying 34 + -6a = 6 + -8(a + -2) Reorder the terms: 34 + -6a = 6 + -8(-2 + a) 34 + -6a = 6 + (-2 * -8 + a * -8) 34 + -6a = 6 + (16 + -8a) Combine like terms: 6 + 16 = 22 34 + -6a = 22 + -8a Solving 34 + -6a = 22 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 34 + -6a + 8a = 22 + -8a + 8a Combine like terms: -6a + 8a = 2a 34 + 2a = 22 + -8a + 8a Combine like terms: -8a + 8a = 0 34 + 2a = 22 + 0 34 + 2a = 22 Add '-34' to each side of the equation. 34 + -34 + 2a = 22 + -34 Combine like terms: 34 + -34 = 0 0 + 2a = 22 + -34 2a = 22 + -34 Combine like terms: 22 + -34 = -12 2a = -12 Divide each side by '2'. a = -6 Simplifying a = -6
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