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Simplifying 34 = 7 + -3(2a + 3) Reorder the terms: 34 = 7 + -3(3 + 2a) 34 = 7 + (3 * -3 + 2a * -3) 34 = 7 + (-9 + -6a) Combine like terms: 7 + -9 = -2 34 = -2 + -6a Solving 34 = -2 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 34 + 6a = -2 + -6a + 6a Combine like terms: -6a + 6a = 0 34 + 6a = -2 + 0 34 + 6a = -2 Add '-34' to each side of the equation. 34 + -34 + 6a = -2 + -34 Combine like terms: 34 + -34 = 0 0 + 6a = -2 + -34 6a = -2 + -34 Combine like terms: -2 + -34 = -36 6a = -36 Divide each side by '6'. a = -6 Simplifying a = -6
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