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Simplifying 4z + -3z + -21 = 2 + -2z Reorder the terms: -21 + 4z + -3z = 2 + -2z Combine like terms: 4z + -3z = 1z -21 + 1z = 2 + -2z Solving -21 + 1z = 2 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -21 + 1z + 2z = 2 + -2z + 2z Combine like terms: 1z + 2z = 3z -21 + 3z = 2 + -2z + 2z Combine like terms: -2z + 2z = 0 -21 + 3z = 2 + 0 -21 + 3z = 2 Add '21' to each side of the equation. -21 + 21 + 3z = 2 + 21 Combine like terms: -21 + 21 = 0 0 + 3z = 2 + 21 3z = 2 + 21 Combine like terms: 2 + 21 = 23 3z = 23 Divide each side by '3'. z = 7.666666667 Simplifying z = 7.666666667
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