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Simplifying 5z + 6 = 2z + 3 + -1z Reorder the terms: 6 + 5z = 2z + 3 + -1z Reorder the terms: 6 + 5z = 3 + 2z + -1z Combine like terms: 2z + -1z = 1z 6 + 5z = 3 + 1z Solving 6 + 5z = 3 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 6 + 5z + -1z = 3 + 1z + -1z Combine like terms: 5z + -1z = 4z 6 + 4z = 3 + 1z + -1z Combine like terms: 1z + -1z = 0 6 + 4z = 3 + 0 6 + 4z = 3 Add '-6' to each side of the equation. 6 + -6 + 4z = 3 + -6 Combine like terms: 6 + -6 = 0 0 + 4z = 3 + -6 4z = 3 + -6 Combine like terms: 3 + -6 = -3 4z = -3 Divide each side by '4'. z = -0.75 Simplifying z = -0.75
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