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Simplifying 13 + 5z = z + -43 Reorder the terms: 13 + 5z = -43 + z Solving 13 + 5z = -43 + 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. 13 + 5z + -1z = -43 + z + -1z Combine like terms: 5z + -1z = 4z 13 + 4z = -43 + z + -1z Combine like terms: z + -1z = 0 13 + 4z = -43 + 0 13 + 4z = -43 Add '-13' to each side of the equation. 13 + -13 + 4z = -43 + -13 Combine like terms: 13 + -13 = 0 0 + 4z = -43 + -13 4z = -43 + -13 Combine like terms: -43 + -13 = -56 4z = -56 Divide each side by '4'. z = -14 Simplifying z = -14
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