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Simplifying z + 24 + -5z + -1 = 4z + 19 + -2z + 16 Reorder the terms: 24 + -1 + z + -5z = 4z + 19 + -2z + 16 Combine like terms: 24 + -1 = 23 23 + z + -5z = 4z + 19 + -2z + 16 Combine like terms: z + -5z = -4z 23 + -4z = 4z + 19 + -2z + 16 Reorder the terms: 23 + -4z = 19 + 16 + 4z + -2z Combine like terms: 19 + 16 = 35 23 + -4z = 35 + 4z + -2z Combine like terms: 4z + -2z = 2z 23 + -4z = 35 + 2z Solving 23 + -4z = 35 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 23 + -4z + -2z = 35 + 2z + -2z Combine like terms: -4z + -2z = -6z 23 + -6z = 35 + 2z + -2z Combine like terms: 2z + -2z = 0 23 + -6z = 35 + 0 23 + -6z = 35 Add '-23' to each side of the equation. 23 + -23 + -6z = 35 + -23 Combine like terms: 23 + -23 = 0 0 + -6z = 35 + -23 -6z = 35 + -23 Combine like terms: 35 + -23 = 12 -6z = 12 Divide each side by '-6'. z = -2 Simplifying z = -2
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