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Simplifying 6z + -21 = -14 + 7z Reorder the terms: -21 + 6z = -14 + 7z Solving -21 + 6z = -14 + 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. -21 + 6z + -7z = -14 + 7z + -7z Combine like terms: 6z + -7z = -1z -21 + -1z = -14 + 7z + -7z Combine like terms: 7z + -7z = 0 -21 + -1z = -14 + 0 -21 + -1z = -14 Add '21' to each side of the equation. -21 + 21 + -1z = -14 + 21 Combine like terms: -21 + 21 = 0 0 + -1z = -14 + 21 -1z = -14 + 21 Combine like terms: -14 + 21 = 7 -1z = 7 Divide each side by '-1'. z = -7 Simplifying z = -7
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