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Simplifying 2 = 2(5z + -2) + -9(3z + -2) Reorder the terms: 2 = 2(-2 + 5z) + -9(3z + -2) 2 = (-2 * 2 + 5z * 2) + -9(3z + -2) 2 = (-4 + 10z) + -9(3z + -2) Reorder the terms: 2 = -4 + 10z + -9(-2 + 3z) 2 = -4 + 10z + (-2 * -9 + 3z * -9) 2 = -4 + 10z + (18 + -27z) Reorder the terms: 2 = -4 + 18 + 10z + -27z Combine like terms: -4 + 18 = 14 2 = 14 + 10z + -27z Combine like terms: 10z + -27z = -17z 2 = 14 + -17z Solving 2 = 14 + -17z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '17z' to each side of the equation. 2 + 17z = 14 + -17z + 17z Combine like terms: -17z + 17z = 0 2 + 17z = 14 + 0 2 + 17z = 14 Add '-2' to each side of the equation. 2 + -2 + 17z = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 17z = 14 + -2 17z = 14 + -2 Combine like terms: 14 + -2 = 12 17z = 12 Divide each side by '17'. z = 0.7058823529 Simplifying z = 0.7058823529
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