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Simplifying 7z + -4 = 13 + z + 8 Reorder the terms: -4 + 7z = 13 + z + 8 Reorder the terms: -4 + 7z = 13 + 8 + z Combine like terms: 13 + 8 = 21 -4 + 7z = 21 + z Solving -4 + 7z = 21 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -4 + 7z + -1z = 21 + z + -1z Combine like terms: 7z + -1z = 6z -4 + 6z = 21 + z + -1z Combine like terms: z + -1z = 0 -4 + 6z = 21 + 0 -4 + 6z = 21 Add '4' to each side of the equation. -4 + 4 + 6z = 21 + 4 Combine like terms: -4 + 4 = 0 0 + 6z = 21 + 4 6z = 21 + 4 Combine like terms: 21 + 4 = 25 6z = 25 Divide each side by '6'. z = 4.166666667 Simplifying z = 4.166666667
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