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Simplifying 4 + 5z + -3 = 4z + -5 Reorder the terms: 4 + -3 + 5z = 4z + -5 Combine like terms: 4 + -3 = 1 1 + 5z = 4z + -5 Reorder the terms: 1 + 5z = -5 + 4z Solving 1 + 5z = -5 + 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. 1 + 5z + -4z = -5 + 4z + -4z Combine like terms: 5z + -4z = 1z 1 + 1z = -5 + 4z + -4z Combine like terms: 4z + -4z = 0 1 + 1z = -5 + 0 1 + 1z = -5 Add '-1' to each side of the equation. 1 + -1 + 1z = -5 + -1 Combine like terms: 1 + -1 = 0 0 + 1z = -5 + -1 1z = -5 + -1 Combine like terms: -5 + -1 = -6 1z = -6 Divide each side by '1'. z = -6 Simplifying z = -6
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