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Simplifying z + 4 = -1z + 10 Reorder the terms: 4 + z = -1z + 10 Reorder the terms: 4 + z = 10 + -1z Solving 4 + z = 10 + -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. 4 + z + z = 10 + -1z + z Combine like terms: z + z = 2z 4 + 2z = 10 + -1z + z Combine like terms: -1z + z = 0 4 + 2z = 10 + 0 4 + 2z = 10 Add '-4' to each side of the equation. 4 + -4 + 2z = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 2z = 10 + -4 2z = 10 + -4 Combine like terms: 10 + -4 = 6 2z = 6 Divide each side by '2'. z = 3 Simplifying z = 3
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