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Simplifying -5 + 10z + 12 + -4z = 21 + 7z Reorder the terms: -5 + 12 + 10z + -4z = 21 + 7z Combine like terms: -5 + 12 = 7 7 + 10z + -4z = 21 + 7z Combine like terms: 10z + -4z = 6z 7 + 6z = 21 + 7z Solving 7 + 6z = 21 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 7 + 6z + -7z = 21 + 7z + -7z Combine like terms: 6z + -7z = -1z 7 + -1z = 21 + 7z + -7z Combine like terms: 7z + -7z = 0 7 + -1z = 21 + 0 7 + -1z = 21 Add '-7' to each side of the equation. 7 + -7 + -1z = 21 + -7 Combine like terms: 7 + -7 = 0 0 + -1z = 21 + -7 -1z = 21 + -7 Combine like terms: 21 + -7 = 14 -1z = 14 Divide each side by '-1'. z = -14 Simplifying z = -14
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