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Simplifying 8 + -22 = 3(3z + 11) + -1z Combine like terms: 8 + -22 = -14 -14 = 3(3z + 11) + -1z Reorder the terms: -14 = 3(11 + 3z) + -1z -14 = (11 * 3 + 3z * 3) + -1z -14 = (33 + 9z) + -1z Combine like terms: 9z + -1z = 8z -14 = 33 + 8z Solving -14 = 33 + 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. -14 + -8z = 33 + 8z + -8z Combine like terms: 8z + -8z = 0 -14 + -8z = 33 + 0 -14 + -8z = 33 Add '14' to each side of the equation. -14 + 14 + -8z = 33 + 14 Combine like terms: -14 + 14 = 0 0 + -8z = 33 + 14 -8z = 33 + 14 Combine like terms: 33 + 14 = 47 -8z = 47 Divide each side by '-8'. z = -5.875 Simplifying z = -5.875
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