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Simplifying 4z + 1 + -2 = 2z + 2 Reorder the terms: 1 + -2 + 4z = 2z + 2 Combine like terms: 1 + -2 = -1 -1 + 4z = 2z + 2 Reorder the terms: -1 + 4z = 2 + 2z Solving -1 + 4z = 2 + 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. -1 + 4z + -2z = 2 + 2z + -2z Combine like terms: 4z + -2z = 2z -1 + 2z = 2 + 2z + -2z Combine like terms: 2z + -2z = 0 -1 + 2z = 2 + 0 -1 + 2z = 2 Add '1' to each side of the equation. -1 + 1 + 2z = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 2z = 2 + 1 2z = 2 + 1 Combine like terms: 2 + 1 = 3 2z = 3 Divide each side by '2'. z = 1.5 Simplifying z = 1.5
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