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Simplifying 7z + -3 = -1z + 13 Reorder the terms: -3 + 7z = -1z + 13 Reorder the terms: -3 + 7z = 13 + -1z Solving -3 + 7z = 13 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -3 + 7z + z = 13 + -1z + z Combine like terms: 7z + z = 8z -3 + 8z = 13 + -1z + z Combine like terms: -1z + z = 0 -3 + 8z = 13 + 0 -3 + 8z = 13 Add '3' to each side of the equation. -3 + 3 + 8z = 13 + 3 Combine like terms: -3 + 3 = 0 0 + 8z = 13 + 3 8z = 13 + 3 Combine like terms: 13 + 3 = 16 8z = 16 Divide each side by '8'. z = 2 Simplifying z = 2
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