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Simplifying 5a + 34 = -2(1 + -7a) Reorder the terms: 34 + 5a = -2(1 + -7a) 34 + 5a = (1 * -2 + -7a * -2) 34 + 5a = (-2 + 14a) Solving 34 + 5a = -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 + 5a + -14a = -2 + 14a + -14a Combine like terms: 5a + -14a = -9a 34 + -9a = -2 + 14a + -14a Combine like terms: 14a + -14a = 0 34 + -9a = -2 + 0 34 + -9a = -2 Add '-34' to each side of the equation. 34 + -34 + -9a = -2 + -34 Combine like terms: 34 + -34 = 0 0 + -9a = -2 + -34 -9a = -2 + -34 Combine like terms: -2 + -34 = -36 -9a = -36 Divide each side by '-9'. a = 4 Simplifying a = 4
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