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Simplifying 34 + 3a = -7(1 + a) + 1 34 + 3a = (1 * -7 + a * -7) + 1 34 + 3a = (-7 + -7a) + 1 Reorder the terms: 34 + 3a = -7 + 1 + -7a Combine like terms: -7 + 1 = -6 34 + 3a = -6 + -7a Solving 34 + 3a = -6 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 34 + 3a + 7a = -6 + -7a + 7a Combine like terms: 3a + 7a = 10a 34 + 10a = -6 + -7a + 7a Combine like terms: -7a + 7a = 0 34 + 10a = -6 + 0 34 + 10a = -6 Add '-34' to each side of the equation. 34 + -34 + 10a = -6 + -34 Combine like terms: 34 + -34 = 0 0 + 10a = -6 + -34 10a = -6 + -34 Combine like terms: -6 + -34 = -40 10a = -40 Divide each side by '10'. a = -4 Simplifying a = -4
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