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Simplifying 8z + -22 = 2(z + 11) + -1z Reorder the terms: -22 + 8z = 2(z + 11) + -1z Reorder the terms: -22 + 8z = 2(11 + z) + -1z -22 + 8z = (11 * 2 + z * 2) + -1z -22 + 8z = (22 + 2z) + -1z Combine like terms: 2z + -1z = 1z -22 + 8z = 22 + 1z Solving -22 + 8z = 22 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -22 + 8z + -1z = 22 + 1z + -1z Combine like terms: 8z + -1z = 7z -22 + 7z = 22 + 1z + -1z Combine like terms: 1z + -1z = 0 -22 + 7z = 22 + 0 -22 + 7z = 22 Add '22' to each side of the equation. -22 + 22 + 7z = 22 + 22 Combine like terms: -22 + 22 = 0 0 + 7z = 22 + 22 7z = 22 + 22 Combine like terms: 22 + 22 = 44 7z = 44 Divide each side by '7'. z = 6.285714286 Simplifying z = 6.285714286
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