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Simplifying 12 + -24 + -1(-22 + 3a) = 34 12 + -24 + (-22 * -1 + 3a * -1) = 34 12 + -24 + (22 + -3a) = 34 Combine like terms: 12 + -24 = -12 -12 + 22 + -3a = 34 Combine like terms: -12 + 22 = 10 10 + -3a = 34 Solving 10 + -3a = 34 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3a = 34 + -10 Combine like terms: 10 + -10 = 0 0 + -3a = 34 + -10 -3a = 34 + -10 Combine like terms: 34 + -10 = 24 -3a = 24 Divide each side by '-3'. a = -8 Simplifying a = -8
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