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Simplifying 34 + -5a = -7(3a + 5) + -7a Reorder the terms: 34 + -5a = -7(5 + 3a) + -7a 34 + -5a = (5 * -7 + 3a * -7) + -7a 34 + -5a = (-35 + -21a) + -7a Combine like terms: -21a + -7a = -28a 34 + -5a = -35 + -28a Solving 34 + -5a = -35 + -28a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '28a' to each side of the equation. 34 + -5a + 28a = -35 + -28a + 28a Combine like terms: -5a + 28a = 23a 34 + 23a = -35 + -28a + 28a Combine like terms: -28a + 28a = 0 34 + 23a = -35 + 0 34 + 23a = -35 Add '-34' to each side of the equation. 34 + -34 + 23a = -35 + -34 Combine like terms: 34 + -34 = 0 0 + 23a = -35 + -34 23a = -35 + -34 Combine like terms: -35 + -34 = -69 23a = -69 Divide each side by '23'. a = -3 Simplifying a = -3
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