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Simplifying [2z + -3] = -4z + -1 Reorder the terms: [-3 + 2z] = -4z + -1 Remove brackets around [-3 + 2z] -3 + 2z = -4z + -1 Reorder the terms: -3 + 2z = -1 + -4z Solving -3 + 2z = -1 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. -3 + 2z + 4z = -1 + -4z + 4z Combine like terms: 2z + 4z = 6z -3 + 6z = -1 + -4z + 4z Combine like terms: -4z + 4z = 0 -3 + 6z = -1 + 0 -3 + 6z = -1 Add '3' to each side of the equation. -3 + 3 + 6z = -1 + 3 Combine like terms: -3 + 3 = 0 0 + 6z = -1 + 3 6z = -1 + 3 Combine like terms: -1 + 3 = 2 6z = 2 Divide each side by '6'. z = 0.3333333333 Simplifying z = 0.3333333333
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