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Simplifying 4 + -4z = -14 + 2z Solving 4 + -4z = -14 + 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. 4 + -4z + -2z = -14 + 2z + -2z Combine like terms: -4z + -2z = -6z 4 + -6z = -14 + 2z + -2z Combine like terms: 2z + -2z = 0 4 + -6z = -14 + 0 4 + -6z = -14 Add '-4' to each side of the equation. 4 + -4 + -6z = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -6z = -14 + -4 -6z = -14 + -4 Combine like terms: -14 + -4 = -18 -6z = -18 Divide each side by '-6'. z = 3 Simplifying z = 3
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