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Simplifying 4z + -3 = 5z + 6 Reorder the terms: -3 + 4z = 5z + 6 Reorder the terms: -3 + 4z = 6 + 5z Solving -3 + 4z = 6 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -3 + 4z + -5z = 6 + 5z + -5z Combine like terms: 4z + -5z = -1z -3 + -1z = 6 + 5z + -5z Combine like terms: 5z + -5z = 0 -3 + -1z = 6 + 0 -3 + -1z = 6 Add '3' to each side of the equation. -3 + 3 + -1z = 6 + 3 Combine like terms: -3 + 3 = 0 0 + -1z = 6 + 3 -1z = 6 + 3 Combine like terms: 6 + 3 = 9 -1z = 9 Divide each side by '-1'. z = -9 Simplifying z = -9
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