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Simplifying -8 + -3(a + -6) = 3a + 34 Reorder the terms: -8 + -3(-6 + a) = 3a + 34 -8 + (-6 * -3 + a * -3) = 3a + 34 -8 + (18 + -3a) = 3a + 34 Combine like terms: -8 + 18 = 10 10 + -3a = 3a + 34 Reorder the terms: 10 + -3a = 34 + 3a Solving 10 + -3a = 34 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 10 + -3a + -3a = 34 + 3a + -3a Combine like terms: -3a + -3a = -6a 10 + -6a = 34 + 3a + -3a Combine like terms: 3a + -3a = 0 10 + -6a = 34 + 0 10 + -6a = 34 Add '-10' to each side of the equation. 10 + -10 + -6a = 34 + -10 Combine like terms: 10 + -10 = 0 0 + -6a = 34 + -10 -6a = 34 + -10 Combine like terms: 34 + -10 = 24 -6a = 24 Divide each side by '-6'. a = -4 Simplifying a = -4
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