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Simplifying 2 = 5(5z + -2) + -9(3z + -2) Reorder the terms: 2 = 5(-2 + 5z) + -9(3z + -2) 2 = (-2 * 5 + 5z * 5) + -9(3z + -2) 2 = (-10 + 25z) + -9(3z + -2) Reorder the terms: 2 = -10 + 25z + -9(-2 + 3z) 2 = -10 + 25z + (-2 * -9 + 3z * -9) 2 = -10 + 25z + (18 + -27z) Reorder the terms: 2 = -10 + 18 + 25z + -27z Combine like terms: -10 + 18 = 8 2 = 8 + 25z + -27z Combine like terms: 25z + -27z = -2z 2 = 8 + -2z Solving 2 = 8 + -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. 2 + 2z = 8 + -2z + 2z Combine like terms: -2z + 2z = 0 2 + 2z = 8 + 0 2 + 2z = 8 Add '-2' to each side of the equation. 2 + -2 + 2z = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 2z = 8 + -2 2z = 8 + -2 Combine like terms: 8 + -2 = 6 2z = 6 Divide each side by '2'. z = 3 Simplifying z = 3
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