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Simplifying 8z + 30 = 8 + -3z Reorder the terms: 30 + 8z = 8 + -3z Solving 30 + 8z = 8 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 30 + 8z + 3z = 8 + -3z + 3z Combine like terms: 8z + 3z = 11z 30 + 11z = 8 + -3z + 3z Combine like terms: -3z + 3z = 0 30 + 11z = 8 + 0 30 + 11z = 8 Add '-30' to each side of the equation. 30 + -30 + 11z = 8 + -30 Combine like terms: 30 + -30 = 0 0 + 11z = 8 + -30 11z = 8 + -30 Combine like terms: 8 + -30 = -22 11z = -22 Divide each side by '11'. z = -2 Simplifying z = -2
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