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Simplifying 7z + -21 = 3z + 6 Reorder the terms: -21 + 7z = 3z + 6 Reorder the terms: -21 + 7z = 6 + 3z Solving -21 + 7z = 6 + 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. -21 + 7z + -3z = 6 + 3z + -3z Combine like terms: 7z + -3z = 4z -21 + 4z = 6 + 3z + -3z Combine like terms: 3z + -3z = 0 -21 + 4z = 6 + 0 -21 + 4z = 6 Add '21' to each side of the equation. -21 + 21 + 4z = 6 + 21 Combine like terms: -21 + 21 = 0 0 + 4z = 6 + 21 4z = 6 + 21 Combine like terms: 6 + 21 = 27 4z = 27 Divide each side by '4'. z = 6.75 Simplifying z = 6.75
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