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Simplifying 3z + -21 = 11 + 7z Reorder the terms: -21 + 3z = 11 + 7z Solving -21 + 3z = 11 + 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 + 3z + -7z = 11 + 7z + -7z Combine like terms: 3z + -7z = -4z -21 + -4z = 11 + 7z + -7z Combine like terms: 7z + -7z = 0 -21 + -4z = 11 + 0 -21 + -4z = 11 Add '21' to each side of the equation. -21 + 21 + -4z = 11 + 21 Combine like terms: -21 + 21 = 0 0 + -4z = 11 + 21 -4z = 11 + 21 Combine like terms: 11 + 21 = 32 -4z = 32 Divide each side by '-4'. z = -8 Simplifying z = -8
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