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Simplifying 6 + -1z = -14 + -4z Solving 6 + -1z = -14 + -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 + -1z + 4z = -14 + -4z + 4z Combine like terms: -1z + 4z = 3z 6 + 3z = -14 + -4z + 4z Combine like terms: -4z + 4z = 0 6 + 3z = -14 + 0 6 + 3z = -14 Add '-6' to each side of the equation. 6 + -6 + 3z = -14 + -6 Combine like terms: 6 + -6 = 0 0 + 3z = -14 + -6 3z = -14 + -6 Combine like terms: -14 + -6 = -20 3z = -20 Divide each side by '3'. z = -6.666666667 Simplifying z = -6.666666667
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