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Simplifying 2z + -21 = -27 + 3z Reorder the terms: -21 + 2z = -27 + 3z Solving -21 + 2z = -27 + 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 + 2z + -3z = -27 + 3z + -3z Combine like terms: 2z + -3z = -1z -21 + -1z = -27 + 3z + -3z Combine like terms: 3z + -3z = 0 -21 + -1z = -27 + 0 -21 + -1z = -27 Add '21' to each side of the equation. -21 + 21 + -1z = -27 + 21 Combine like terms: -21 + 21 = 0 0 + -1z = -27 + 21 -1z = -27 + 21 Combine like terms: -27 + 21 = -6 -1z = -6 Divide each side by '-1'. z = 6 Simplifying z = 6
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