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Simplifying 7z + -13 = -5 + 3z Reorder the terms: -13 + 7z = -5 + 3z Solving -13 + 7z = -5 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -13 + 7z + -3z = -5 + 3z + -3z Combine like terms: 7z + -3z = 4z -13 + 4z = -5 + 3z + -3z Combine like terms: 3z + -3z = 0 -13 + 4z = -5 + 0 -13 + 4z = -5 Add '13' to each side of the equation. -13 + 13 + 4z = -5 + 13 Combine like terms: -13 + 13 = 0 0 + 4z = -5 + 13 4z = -5 + 13 Combine like terms: -5 + 13 = 8 4z = 8 Divide each side by '4'. z = 2 Simplifying z = 2
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