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Simplifying -21 + (-26z + 21) + 22z = -22 + (21z + -22) Reorder the terms: -21 + (21 + -26z) + 22z = -22 + (21z + -22) Remove parenthesis around (21 + -26z) -21 + 21 + -26z + 22z = -22 + (21z + -22) Combine like terms: -21 + 21 = 0 0 + -26z + 22z = -22 + (21z + -22) -26z + 22z = -22 + (21z + -22) Combine like terms: -26z + 22z = -4z -4z = -22 + (21z + -22) Reorder the terms: -4z = -22 + (-22 + 21z) Remove parenthesis around (-22 + 21z) -4z = -22 + -22 + 21z Combine like terms: -22 + -22 = -44 -4z = -44 + 21z Solving -4z = -44 + 21z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-21z' to each side of the equation. -4z + -21z = -44 + 21z + -21z Combine like terms: -4z + -21z = -25z -25z = -44 + 21z + -21z Combine like terms: 21z + -21z = 0 -25z = -44 + 0 -25z = -44 Divide each side by '-25'. z = 1.76 Simplifying z = 1.76
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