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Simplifying 6z + -23 = -24 + 7z Reorder the terms: -23 + 6z = -24 + 7z Solving -23 + 6z = -24 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -23 + 6z + -7z = -24 + 7z + -7z Combine like terms: 6z + -7z = -1z -23 + -1z = -24 + 7z + -7z Combine like terms: 7z + -7z = 0 -23 + -1z = -24 + 0 -23 + -1z = -24 Add '23' to each side of the equation. -23 + 23 + -1z = -24 + 23 Combine like terms: -23 + 23 = 0 0 + -1z = -24 + 23 -1z = -24 + 23 Combine like terms: -24 + 23 = -1 -1z = -1 Divide each side by '-1'. z = 1 Simplifying z = 1
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