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Simplifying 34 + 6a = -2 + -2(7a + -2) Reorder the terms: 34 + 6a = -2 + -2(-2 + 7a) 34 + 6a = -2 + (-2 * -2 + 7a * -2) 34 + 6a = -2 + (4 + -14a) Combine like terms: -2 + 4 = 2 34 + 6a = 2 + -14a Solving 34 + 6a = 2 + -14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14a' to each side of the equation. 34 + 6a + 14a = 2 + -14a + 14a Combine like terms: 6a + 14a = 20a 34 + 20a = 2 + -14a + 14a Combine like terms: -14a + 14a = 0 34 + 20a = 2 + 0 34 + 20a = 2 Add '-34' to each side of the equation. 34 + -34 + 20a = 2 + -34 Combine like terms: 34 + -34 = 0 0 + 20a = 2 + -34 20a = 2 + -34 Combine like terms: 2 + -34 = -32 20a = -32 Divide each side by '20'. a = -1.6 Simplifying a = -1.6
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