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Simplifying 3z + 10 + -1z = 8 + z + -5 Reorder the terms: 10 + 3z + -1z = 8 + z + -5 Combine like terms: 3z + -1z = 2z 10 + 2z = 8 + z + -5 Reorder the terms: 10 + 2z = 8 + -5 + z Combine like terms: 8 + -5 = 3 10 + 2z = 3 + z Solving 10 + 2z = 3 + 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. 10 + 2z + -1z = 3 + z + -1z Combine like terms: 2z + -1z = 1z 10 + 1z = 3 + z + -1z Combine like terms: z + -1z = 0 10 + 1z = 3 + 0 10 + 1z = 3 Add '-10' to each side of the equation. 10 + -10 + 1z = 3 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 3 + -10 1z = 3 + -10 Combine like terms: 3 + -10 = -7 1z = -7 Divide each side by '1'. z = -7 Simplifying z = -7
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