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Simplifying 6z + -22 = 3(3z + 11) + -3 Reorder the terms: -22 + 6z = 3(3z + 11) + -3 Reorder the terms: -22 + 6z = 3(11 + 3z) + -3 -22 + 6z = (11 * 3 + 3z * 3) + -3 -22 + 6z = (33 + 9z) + -3 Reorder the terms: -22 + 6z = 33 + -3 + 9z Combine like terms: 33 + -3 = 30 -22 + 6z = 30 + 9z Solving -22 + 6z = 30 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -22 + 6z + -9z = 30 + 9z + -9z Combine like terms: 6z + -9z = -3z -22 + -3z = 30 + 9z + -9z Combine like terms: 9z + -9z = 0 -22 + -3z = 30 + 0 -22 + -3z = 30 Add '22' to each side of the equation. -22 + 22 + -3z = 30 + 22 Combine like terms: -22 + 22 = 0 0 + -3z = 30 + 22 -3z = 30 + 22 Combine like terms: 30 + 22 = 52 -3z = 52 Divide each side by '-3'. z = -17.33333333 Simplifying z = -17.33333333
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