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Simplifying 6z + -7 = -11 + 8z Reorder the terms: -7 + 6z = -11 + 8z Solving -7 + 6z = -11 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -7 + 6z + -8z = -11 + 8z + -8z Combine like terms: 6z + -8z = -2z -7 + -2z = -11 + 8z + -8z Combine like terms: 8z + -8z = 0 -7 + -2z = -11 + 0 -7 + -2z = -11 Add '7' to each side of the equation. -7 + 7 + -2z = -11 + 7 Combine like terms: -7 + 7 = 0 0 + -2z = -11 + 7 -2z = -11 + 7 Combine like terms: -11 + 7 = -4 -2z = -4 Divide each side by '-2'. z = 2 Simplifying z = 2
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