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Simplifying 4z + -3 = 1z + 6 Reorder the terms: -3 + 4z = 1z + 6 Reorder the terms: -3 + 4z = 6 + 1z Solving -3 + 4z = 6 + 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. -3 + 4z + -1z = 6 + 1z + -1z Combine like terms: 4z + -1z = 3z -3 + 3z = 6 + 1z + -1z Combine like terms: 1z + -1z = 0 -3 + 3z = 6 + 0 -3 + 3z = 6 Add '3' to each side of the equation. -3 + 3 + 3z = 6 + 3 Combine like terms: -3 + 3 = 0 0 + 3z = 6 + 3 3z = 6 + 3 Combine like terms: 6 + 3 = 9 3z = 9 Divide each side by '3'. z = 3 Simplifying z = 3
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