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Simplifying 7z + -51 = 6z + -40 Reorder the terms: -51 + 7z = 6z + -40 Reorder the terms: -51 + 7z = -40 + 6z Solving -51 + 7z = -40 + 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. -51 + 7z + -6z = -40 + 6z + -6z Combine like terms: 7z + -6z = 1z -51 + 1z = -40 + 6z + -6z Combine like terms: 6z + -6z = 0 -51 + 1z = -40 + 0 -51 + 1z = -40 Add '51' to each side of the equation. -51 + 51 + 1z = -40 + 51 Combine like terms: -51 + 51 = 0 0 + 1z = -40 + 51 1z = -40 + 51 Combine like terms: -40 + 51 = 11 1z = 11 Divide each side by '1'. z = 11 Simplifying z = 11
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