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Simplifying 14 + -7z = 22 + -3z Solving 14 + -7z = 22 + -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. 14 + -7z + 3z = 22 + -3z + 3z Combine like terms: -7z + 3z = -4z 14 + -4z = 22 + -3z + 3z Combine like terms: -3z + 3z = 0 14 + -4z = 22 + 0 14 + -4z = 22 Add '-14' to each side of the equation. 14 + -14 + -4z = 22 + -14 Combine like terms: 14 + -14 = 0 0 + -4z = 22 + -14 -4z = 22 + -14 Combine like terms: 22 + -14 = 8 -4z = 8 Divide each side by '-4'. z = -2 Simplifying z = -2
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