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Simplifying 6z + -8 + 2z + -5 = 7 + -2z Reorder the terms: -8 + -5 + 6z + 2z = 7 + -2z Combine like terms: -8 + -5 = -13 -13 + 6z + 2z = 7 + -2z Combine like terms: 6z + 2z = 8z -13 + 8z = 7 + -2z Solving -13 + 8z = 7 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -13 + 8z + 2z = 7 + -2z + 2z Combine like terms: 8z + 2z = 10z -13 + 10z = 7 + -2z + 2z Combine like terms: -2z + 2z = 0 -13 + 10z = 7 + 0 -13 + 10z = 7 Add '13' to each side of the equation. -13 + 13 + 10z = 7 + 13 Combine like terms: -13 + 13 = 0 0 + 10z = 7 + 13 10z = 7 + 13 Combine like terms: 7 + 13 = 20 10z = 20 Divide each side by '10'. z = 2 Simplifying z = 2
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