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Simplifying 3z + 2 + -6z = -8 + -4z Reorder the terms: 2 + 3z + -6z = -8 + -4z Combine like terms: 3z + -6z = -3z 2 + -3z = -8 + -4z Solving 2 + -3z = -8 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 2 + -3z + 4z = -8 + -4z + 4z Combine like terms: -3z + 4z = 1z 2 + 1z = -8 + -4z + 4z Combine like terms: -4z + 4z = 0 2 + 1z = -8 + 0 2 + 1z = -8 Add '-2' to each side of the equation. 2 + -2 + 1z = -8 + -2 Combine like terms: 2 + -2 = 0 0 + 1z = -8 + -2 1z = -8 + -2 Combine like terms: -8 + -2 = -10 1z = -10 Divide each side by '1'. z = -10 Simplifying z = -10
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