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Simplifying 42 + -15 = 4z + 11 Combine like terms: 42 + -15 = 27 27 = 4z + 11 Reorder the terms: 27 = 11 + 4z Solving 27 = 11 + 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. 27 + -4z = 11 + 4z + -4z Combine like terms: 4z + -4z = 0 27 + -4z = 11 + 0 27 + -4z = 11 Add '-27' to each side of the equation. 27 + -27 + -4z = 11 + -27 Combine like terms: 27 + -27 = 0 0 + -4z = 11 + -27 -4z = 11 + -27 Combine like terms: 11 + -27 = -16 -4z = -16 Divide each side by '-4'. z = 4 Simplifying z = 4
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