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Simplifying 12z + -2(2z + -5) = 2 Reorder the terms: 12z + -2(-5 + 2z) = 2 12z + (-5 * -2 + 2z * -2) = 2 12z + (10 + -4z) = 2 Reorder the terms: 10 + 12z + -4z = 2 Combine like terms: 12z + -4z = 8z 10 + 8z = 2 Solving 10 + 8z = 2 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 8z = 2 + -10 Combine like terms: 10 + -10 = 0 0 + 8z = 2 + -10 8z = 2 + -10 Combine like terms: 2 + -10 = -8 8z = -8 Divide each side by '8'. z = -1 Simplifying z = -1
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