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Simplifying 8z + -22 = 3(3z + -11) + -2 Reorder the terms: -22 + 8z = 3(3z + -11) + -2 Reorder the terms: -22 + 8z = 3(-11 + 3z) + -2 -22 + 8z = (-11 * 3 + 3z * 3) + -2 -22 + 8z = (-33 + 9z) + -2 Reorder the terms: -22 + 8z = -33 + -2 + 9z Combine like terms: -33 + -2 = -35 -22 + 8z = -35 + 9z Solving -22 + 8z = -35 + 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 + 8z + -9z = -35 + 9z + -9z Combine like terms: 8z + -9z = -1z -22 + -1z = -35 + 9z + -9z Combine like terms: 9z + -9z = 0 -22 + -1z = -35 + 0 -22 + -1z = -35 Add '22' to each side of the equation. -22 + 22 + -1z = -35 + 22 Combine like terms: -22 + 22 = 0 0 + -1z = -35 + 22 -1z = -35 + 22 Combine like terms: -35 + 22 = -13 -1z = -13 Divide each side by '-1'. z = 13 Simplifying z = 13
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