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Simplifying -3z + 6 = -4z + -8 Reorder the terms: 6 + -3z = -4z + -8 Reorder the terms: 6 + -3z = -8 + -4z Solving 6 + -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. 6 + -3z + 4z = -8 + -4z + 4z Combine like terms: -3z + 4z = 1z 6 + 1z = -8 + -4z + 4z Combine like terms: -4z + 4z = 0 6 + 1z = -8 + 0 6 + 1z = -8 Add '-6' to each side of the equation. 6 + -6 + 1z = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 1z = -8 + -6 1z = -8 + -6 Combine like terms: -8 + -6 = -14 1z = -14 Divide each side by '1'. z = -14 Simplifying z = -14
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