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Simplifying 5z + -27 = -28 + 6z Reorder the terms: -27 + 5z = -28 + 6z Solving -27 + 5z = -28 + 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. -27 + 5z + -6z = -28 + 6z + -6z Combine like terms: 5z + -6z = -1z -27 + -1z = -28 + 6z + -6z Combine like terms: 6z + -6z = 0 -27 + -1z = -28 + 0 -27 + -1z = -28 Add '27' to each side of the equation. -27 + 27 + -1z = -28 + 27 Combine like terms: -27 + 27 = 0 0 + -1z = -28 + 27 -1z = -28 + 27 Combine like terms: -28 + 27 = -1 -1z = -1 Divide each side by '-1'. z = 1 Simplifying z = 1
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