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Simplifying 3z + -7z = -3z + -8 + 6z Combine like terms: 3z + -7z = -4z -4z = -3z + -8 + 6z Reorder the terms: -4z = -8 + -3z + 6z Combine like terms: -3z + 6z = 3z -4z = -8 + 3z Solving -4z = -8 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -4z + -3z = -8 + 3z + -3z Combine like terms: -4z + -3z = -7z -7z = -8 + 3z + -3z Combine like terms: 3z + -3z = 0 -7z = -8 + 0 -7z = -8 Divide each side by '-7'. z = 1.142857143 Simplifying z = 1.142857143
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