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Simplifying 8z + -13 = 33 + 4z Reorder the terms: -13 + 8z = 33 + 4z Solving -13 + 8z = 33 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -13 + 8z + -4z = 33 + 4z + -4z Combine like terms: 8z + -4z = 4z -13 + 4z = 33 + 4z + -4z Combine like terms: 4z + -4z = 0 -13 + 4z = 33 + 0 -13 + 4z = 33 Add '13' to each side of the equation. -13 + 13 + 4z = 33 + 13 Combine like terms: -13 + 13 = 0 0 + 4z = 33 + 13 4z = 33 + 13 Combine like terms: 33 + 13 = 46 4z = 46 Divide each side by '4'. z = 11.5 Simplifying z = 11.5
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