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Simplifying 6 + 4z + -2 = 7z + 13 + -2z Reorder the terms: 6 + -2 + 4z = 7z + 13 + -2z Combine like terms: 6 + -2 = 4 4 + 4z = 7z + 13 + -2z Reorder the terms: 4 + 4z = 13 + 7z + -2z Combine like terms: 7z + -2z = 5z 4 + 4z = 13 + 5z Solving 4 + 4z = 13 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 4 + 4z + -5z = 13 + 5z + -5z Combine like terms: 4z + -5z = -1z 4 + -1z = 13 + 5z + -5z Combine like terms: 5z + -5z = 0 4 + -1z = 13 + 0 4 + -1z = 13 Add '-4' to each side of the equation. 4 + -4 + -1z = 13 + -4 Combine like terms: 4 + -4 = 0 0 + -1z = 13 + -4 -1z = 13 + -4 Combine like terms: 13 + -4 = 9 -1z = 9 Divide each side by '-1'. z = -9 Simplifying z = -9
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