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Simplifying 6a + 34 = 3 + -1(2a + 17) Reorder the terms: 34 + 6a = 3 + -1(2a + 17) Reorder the terms: 34 + 6a = 3 + -1(17 + 2a) 34 + 6a = 3 + (17 * -1 + 2a * -1) 34 + 6a = 3 + (-17 + -2a) Combine like terms: 3 + -17 = -14 34 + 6a = -14 + -2a Solving 34 + 6a = -14 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 34 + 6a + 2a = -14 + -2a + 2a Combine like terms: 6a + 2a = 8a 34 + 8a = -14 + -2a + 2a Combine like terms: -2a + 2a = 0 34 + 8a = -14 + 0 34 + 8a = -14 Add '-34' to each side of the equation. 34 + -34 + 8a = -14 + -34 Combine like terms: 34 + -34 = 0 0 + 8a = -14 + -34 8a = -14 + -34 Combine like terms: -14 + -34 = -48 8a = -48 Divide each side by '8'. a = -6 Simplifying a = -6
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