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Simplifying 2 = (5z + -2) + -9(3z + -2) Reorder the terms: 2 = (-2 + 5z) + -9(3z + -2) Remove parenthesis around (-2 + 5z) 2 = -2 + 5z + -9(3z + -2) Reorder the terms: 2 = -2 + 5z + -9(-2 + 3z) 2 = -2 + 5z + (-2 * -9 + 3z * -9) 2 = -2 + 5z + (18 + -27z) Reorder the terms: 2 = -2 + 18 + 5z + -27z Combine like terms: -2 + 18 = 16 2 = 16 + 5z + -27z Combine like terms: 5z + -27z = -22z 2 = 16 + -22z Solving 2 = 16 + -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. 2 + 22z = 16 + -22z + 22z Combine like terms: -22z + 22z = 0 2 + 22z = 16 + 0 2 + 22z = 16 Add '-2' to each side of the equation. 2 + -2 + 22z = 16 + -2 Combine like terms: 2 + -2 = 0 0 + 22z = 16 + -2 22z = 16 + -2 Combine like terms: 16 + -2 = 14 22z = 14 Divide each side by '22'. z = 0.6363636364 Simplifying z = 0.6363636364
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