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Simplifying 8 = 2[z + 1] Reorder the terms: 8 = 2[1 + z] 8 = [1 * 2 + z * 2] 8 = [2 + 2z] Solving 8 = 2 + 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. 8 + -2z = 2 + 2z + -2z Combine like terms: 2z + -2z = 0 8 + -2z = 2 + 0 8 + -2z = 2 Add '-8' to each side of the equation. 8 + -8 + -2z = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -2z = 2 + -8 -2z = 2 + -8 Combine like terms: 2 + -8 = -6 -2z = -6 Divide each side by '-2'. z = 3 Simplifying z = 3
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