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Simplifying 7z + 13 = 4z + -5 Reorder the terms: 13 + 7z = 4z + -5 Reorder the terms: 13 + 7z = -5 + 4z Solving 13 + 7z = -5 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 13 + 7z + -4z = -5 + 4z + -4z Combine like terms: 7z + -4z = 3z 13 + 3z = -5 + 4z + -4z Combine like terms: 4z + -4z = 0 13 + 3z = -5 + 0 13 + 3z = -5 Add '-13' to each side of the equation. 13 + -13 + 3z = -5 + -13 Combine like terms: 13 + -13 = 0 0 + 3z = -5 + -13 3z = -5 + -13 Combine like terms: -5 + -13 = -18 3z = -18 Divide each side by '3'. z = -6 Simplifying z = -6
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