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Simplifying 3z + -8 = -6 + 2z Reorder the terms: -8 + 3z = -6 + 2z Solving -8 + 3z = -6 + 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. -8 + 3z + -2z = -6 + 2z + -2z Combine like terms: 3z + -2z = 1z -8 + 1z = -6 + 2z + -2z Combine like terms: 2z + -2z = 0 -8 + 1z = -6 + 0 -8 + 1z = -6 Add '8' to each side of the equation. -8 + 8 + 1z = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 1z = -6 + 8 1z = -6 + 8 Combine like terms: -6 + 8 = 2 1z = 2 Divide each side by '1'. z = 2 Simplifying z = 2
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