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Simplifying 6 + -3 = 4z + 5 Combine like terms: 6 + -3 = 3 3 = 4z + 5 Reorder the terms: 3 = 5 + 4z Solving 3 = 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. 3 + -4z = 5 + 4z + -4z Combine like terms: 4z + -4z = 0 3 + -4z = 5 + 0 3 + -4z = 5 Add '-3' to each side of the equation. 3 + -3 + -4z = 5 + -3 Combine like terms: 3 + -3 = 0 0 + -4z = 5 + -3 -4z = 5 + -3 Combine like terms: 5 + -3 = 2 -4z = 2 Divide each side by '-4'. z = -0.5 Simplifying z = -0.5
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