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Simplifying 4(2z + 1) + -1z + -22 = 0 Reorder the terms: 4(1 + 2z) + -1z + -22 = 0 (1 * 4 + 2z * 4) + -1z + -22 = 0 (4 + 8z) + -1z + -22 = 0 Reorder the terms: 4 + -22 + 8z + -1z = 0 Combine like terms: 4 + -22 = -18 -18 + 8z + -1z = 0 Combine like terms: 8z + -1z = 7z -18 + 7z = 0 Solving -18 + 7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 7z = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 7z = 0 + 18 7z = 0 + 18 Combine like terms: 0 + 18 = 18 7z = 18 Divide each side by '7'. z = 2.571428571 Simplifying z = 2.571428571
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