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Simplifying 3z + -5(100 + -3z) = 400 3z + (100 * -5 + -3z * -5) = 400 3z + (-500 + 15z) = 400 Reorder the terms: -500 + 3z + 15z = 400 Combine like terms: 3z + 15z = 18z -500 + 18z = 400 Solving -500 + 18z = 400 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '500' to each side of the equation. -500 + 500 + 18z = 400 + 500 Combine like terms: -500 + 500 = 0 0 + 18z = 400 + 500 18z = 400 + 500 Combine like terms: 400 + 500 = 900 18z = 900 Divide each side by '18'. z = 50 Simplifying z = 50
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