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Simplifying 7 + 3z + -4 = 8z + 30 + -2z Reorder the terms: 7 + -4 + 3z = 8z + 30 + -2z Combine like terms: 7 + -4 = 3 3 + 3z = 8z + 30 + -2z Reorder the terms: 3 + 3z = 30 + 8z + -2z Combine like terms: 8z + -2z = 6z 3 + 3z = 30 + 6z Solving 3 + 3z = 30 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 3 + 3z + -6z = 30 + 6z + -6z Combine like terms: 3z + -6z = -3z 3 + -3z = 30 + 6z + -6z Combine like terms: 6z + -6z = 0 3 + -3z = 30 + 0 3 + -3z = 30 Add '-3' to each side of the equation. 3 + -3 + -3z = 30 + -3 Combine like terms: 3 + -3 = 0 0 + -3z = 30 + -3 -3z = 30 + -3 Combine like terms: 30 + -3 = 27 -3z = 27 Divide each side by '-3'. z = -9 Simplifying z = -9
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