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Simplifying 34 = 4a + -5(a + -8) Reorder the terms: 34 = 4a + -5(-8 + a) 34 = 4a + (-8 * -5 + a * -5) 34 = 4a + (40 + -5a) Reorder the terms: 34 = 40 + 4a + -5a Combine like terms: 4a + -5a = -1a 34 = 40 + -1a Solving 34 = 40 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 34 + a = 40 + -1a + a Combine like terms: -1a + a = 0 34 + a = 40 + 0 34 + a = 40 Add '-34' to each side of the equation. 34 + -34 + a = 40 + -34 Combine like terms: 34 + -34 = 0 0 + a = 40 + -34 a = 40 + -34 Combine like terms: 40 + -34 = 6 a = 6 Simplifying a = 6
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