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Simplifying -5z + 3z = 8z + -4 + -6 Combine like terms: -5z + 3z = -2z -2z = 8z + -4 + -6 Reorder the terms: -2z = -4 + -6 + 8z Combine like terms: -4 + -6 = -10 -2z = -10 + 8z Solving -2z = -10 + 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. -2z + -8z = -10 + 8z + -8z Combine like terms: -2z + -8z = -10z -10z = -10 + 8z + -8z Combine like terms: 8z + -8z = 0 -10z = -10 + 0 -10z = -10 Divide each side by '-10'. z = 1 Simplifying z = 1
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