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Simplifying -7 + 8z = 6z + -5 Reorder the terms: -7 + 8z = -5 + 6z Solving -7 + 8z = -5 + 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. -7 + 8z + -6z = -5 + 6z + -6z Combine like terms: 8z + -6z = 2z -7 + 2z = -5 + 6z + -6z Combine like terms: 6z + -6z = 0 -7 + 2z = -5 + 0 -7 + 2z = -5 Add '7' to each side of the equation. -7 + 7 + 2z = -5 + 7 Combine like terms: -7 + 7 = 0 0 + 2z = -5 + 7 2z = -5 + 7 Combine like terms: -5 + 7 = 2 2z = 2 Divide each side by '2'. z = 1 Simplifying z = 1
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