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Simplifying 8 + -1z = 4(2z + 1) Reorder the terms: 8 + -1z = 4(1 + 2z) 8 + -1z = (1 * 4 + 2z * 4) 8 + -1z = (4 + 8z) Solving 8 + -1z = 4 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 8 + -1z + -8z = 4 + 8z + -8z Combine like terms: -1z + -8z = -9z 8 + -9z = 4 + 8z + -8z Combine like terms: 8z + -8z = 0 8 + -9z = 4 + 0 8 + -9z = 4 Add '-8' to each side of the equation. 8 + -8 + -9z = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -9z = 4 + -8 -9z = 4 + -8 Combine like terms: 4 + -8 = -4 -9z = -4 Divide each side by '-9'. z = 0.4444444444 Simplifying z = 0.4444444444
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