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Simplifying 13z + -2 + 30z + -2 = 22z + -6 Reorder the terms: -2 + -2 + 13z + 30z = 22z + -6 Combine like terms: -2 + -2 = -4 -4 + 13z + 30z = 22z + -6 Combine like terms: 13z + 30z = 43z -4 + 43z = 22z + -6 Reorder the terms: -4 + 43z = -6 + 22z Solving -4 + 43z = -6 + 22z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-22z' to each side of the equation. -4 + 43z + -22z = -6 + 22z + -22z Combine like terms: 43z + -22z = 21z -4 + 21z = -6 + 22z + -22z Combine like terms: 22z + -22z = 0 -4 + 21z = -6 + 0 -4 + 21z = -6 Add '4' to each side of the equation. -4 + 4 + 21z = -6 + 4 Combine like terms: -4 + 4 = 0 0 + 21z = -6 + 4 21z = -6 + 4 Combine like terms: -6 + 4 = -2 21z = -2 Divide each side by '21'. z = -0.09523809524 Simplifying z = -0.09523809524
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