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Simplifying -2z + -1 = 3z + -21 Reorder the terms: -1 + -2z = 3z + -21 Reorder the terms: -1 + -2z = -21 + 3z Solving -1 + -2z = -21 + 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. -1 + -2z + -3z = -21 + 3z + -3z Combine like terms: -2z + -3z = -5z -1 + -5z = -21 + 3z + -3z Combine like terms: 3z + -3z = 0 -1 + -5z = -21 + 0 -1 + -5z = -21 Add '1' to each side of the equation. -1 + 1 + -5z = -21 + 1 Combine like terms: -1 + 1 = 0 0 + -5z = -21 + 1 -5z = -21 + 1 Combine like terms: -21 + 1 = -20 -5z = -20 Divide each side by '-5'. z = 4 Simplifying z = 4
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