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Simplifying 21 = 11 + -1(2z + -5) Reorder the terms: 21 = 11 + -1(-5 + 2z) 21 = 11 + (-5 * -1 + 2z * -1) 21 = 11 + (5 + -2z) Combine like terms: 11 + 5 = 16 21 = 16 + -2z Solving 21 = 16 + -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 + 2z = 16 + -2z + 2z Combine like terms: -2z + 2z = 0 21 + 2z = 16 + 0 21 + 2z = 16 Add '-21' to each side of the equation. 21 + -21 + 2z = 16 + -21 Combine like terms: 21 + -21 = 0 0 + 2z = 16 + -21 2z = 16 + -21 Combine like terms: 16 + -21 = -5 2z = -5 Divide each side by '2'. z = -2.5 Simplifying z = -2.5
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