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Simplifying 23 = 16 + -1(2z + 4) Reorder the terms: 23 = 16 + -1(4 + 2z) 23 = 16 + (4 * -1 + 2z * -1) 23 = 16 + (-4 + -2z) Combine like terms: 16 + -4 = 12 23 = 12 + -2z Solving 23 = 12 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 23 + 2z = 12 + -2z + 2z Combine like terms: -2z + 2z = 0 23 + 2z = 12 + 0 23 + 2z = 12 Add '-23' to each side of the equation. 23 + -23 + 2z = 12 + -23 Combine like terms: 23 + -23 = 0 0 + 2z = 12 + -23 2z = 12 + -23 Combine like terms: 12 + -23 = -11 2z = -11 Divide each side by '2'. z = -5.5 Simplifying z = -5.5
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