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Simplifying 8z + -22 = 3(34z + 11) + -1z Reorder the terms: -22 + 8z = 3(34z + 11) + -1z Reorder the terms: -22 + 8z = 3(11 + 34z) + -1z -22 + 8z = (11 * 3 + 34z * 3) + -1z -22 + 8z = (33 + 102z) + -1z Combine like terms: 102z + -1z = 101z -22 + 8z = 33 + 101z Solving -22 + 8z = 33 + 101z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-101z' to each side of the equation. -22 + 8z + -101z = 33 + 101z + -101z Combine like terms: 8z + -101z = -93z -22 + -93z = 33 + 101z + -101z Combine like terms: 101z + -101z = 0 -22 + -93z = 33 + 0 -22 + -93z = 33 Add '22' to each side of the equation. -22 + 22 + -93z = 33 + 22 Combine like terms: -22 + 22 = 0 0 + -93z = 33 + 22 -93z = 33 + 22 Combine like terms: 33 + 22 = 55 -93z = 55 Divide each side by '-93'. z = -0.5913978495 Simplifying z = -0.5913978495
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