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Simplifying 34 + 4a = -3(8a + -2) Reorder the terms: 34 + 4a = -3(-2 + 8a) 34 + 4a = (-2 * -3 + 8a * -3) 34 + 4a = (6 + -24a) Solving 34 + 4a = 6 + -24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24a' to each side of the equation. 34 + 4a + 24a = 6 + -24a + 24a Combine like terms: 4a + 24a = 28a 34 + 28a = 6 + -24a + 24a Combine like terms: -24a + 24a = 0 34 + 28a = 6 + 0 34 + 28a = 6 Add '-34' to each side of the equation. 34 + -34 + 28a = 6 + -34 Combine like terms: 34 + -34 = 0 0 + 28a = 6 + -34 28a = 6 + -34 Combine like terms: 6 + -34 = -28 28a = -28 Divide each side by '28'. a = -1 Simplifying a = -1
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