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Simplifying 3z + 27 = 42z Reorder the terms: 27 + 3z = 42z Solving 27 + 3z = 42z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-42z' to each side of the equation. 27 + 3z + -42z = 42z + -42z Combine like terms: 3z + -42z = -39z 27 + -39z = 42z + -42z Combine like terms: 42z + -42z = 0 27 + -39z = 0 Add '-27' to each side of the equation. 27 + -27 + -39z = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -39z = 0 + -27 -39z = 0 + -27 Combine like terms: 0 + -27 = -27 -39z = -27 Divide each side by '-39'. z = 0.6923076923 Simplifying z = 0.6923076923
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