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Simplifying -6 + -10z = 10 + -8z Solving -6 + -10z = 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. -6 + -10z + 8z = 10 + -8z + 8z Combine like terms: -10z + 8z = -2z -6 + -2z = 10 + -8z + 8z Combine like terms: -8z + 8z = 0 -6 + -2z = 10 + 0 -6 + -2z = 10 Add '6' to each side of the equation. -6 + 6 + -2z = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -2z = 10 + 6 -2z = 10 + 6 Combine like terms: 10 + 6 = 16 -2z = 16 Divide each side by '-2'. z = -8 Simplifying z = -8
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