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Simplifying 6z + 48 = 54 + -6z Reorder the terms: 48 + 6z = 54 + -6z Solving 48 + 6z = 54 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 48 + 6z + 6z = 54 + -6z + 6z Combine like terms: 6z + 6z = 12z 48 + 12z = 54 + -6z + 6z Combine like terms: -6z + 6z = 0 48 + 12z = 54 + 0 48 + 12z = 54 Add '-48' to each side of the equation. 48 + -48 + 12z = 54 + -48 Combine like terms: 48 + -48 = 0 0 + 12z = 54 + -48 12z = 54 + -48 Combine like terms: 54 + -48 = 6 12z = 6 Divide each side by '12'. z = 0.5 Simplifying z = 0.5
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