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Simplifying 7 + 3z + -2 = 8z + 14 + -2z Reorder the terms: 7 + -2 + 3z = 8z + 14 + -2z Combine like terms: 7 + -2 = 5 5 + 3z = 8z + 14 + -2z Reorder the terms: 5 + 3z = 14 + 8z + -2z Combine like terms: 8z + -2z = 6z 5 + 3z = 14 + 6z Solving 5 + 3z = 14 + 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. 5 + 3z + -6z = 14 + 6z + -6z Combine like terms: 3z + -6z = -3z 5 + -3z = 14 + 6z + -6z Combine like terms: 6z + -6z = 0 5 + -3z = 14 + 0 5 + -3z = 14 Add '-5' to each side of the equation. 5 + -5 + -3z = 14 + -5 Combine like terms: 5 + -5 = 0 0 + -3z = 14 + -5 -3z = 14 + -5 Combine like terms: 14 + -5 = 9 -3z = 9 Divide each side by '-3'. z = -3 Simplifying z = -3
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