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Simplifying 3z + -21 = -30 + 2z Reorder the terms: -21 + 3z = -30 + 2z Solving -21 + 3z = -30 + 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 + 3z + -2z = -30 + 2z + -2z Combine like terms: 3z + -2z = 1z -21 + 1z = -30 + 2z + -2z Combine like terms: 2z + -2z = 0 -21 + 1z = -30 + 0 -21 + 1z = -30 Add '21' to each side of the equation. -21 + 21 + 1z = -30 + 21 Combine like terms: -21 + 21 = 0 0 + 1z = -30 + 21 1z = -30 + 21 Combine like terms: -30 + 21 = -9 1z = -9 Divide each side by '1'. z = -9 Simplifying z = -9
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