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Simplifying 4z + 10 + -2z = 8 + z + -8 Reorder the terms: 10 + 4z + -2z = 8 + z + -8 Combine like terms: 4z + -2z = 2z 10 + 2z = 8 + z + -8 Reorder the terms: 10 + 2z = 8 + -8 + z Combine like terms: 8 + -8 = 0 10 + 2z = 0 + z 10 + 2z = z Solving 10 + 2z = 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 = z + -1z Combine like terms: 2z + -1z = 1z 10 + 1z = z + -1z Combine like terms: z + -1z = 0 10 + 1z = 0 Add '-10' to each side of the equation. 10 + -10 + 1z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 0 + -10 1z = 0 + -10 Combine like terms: 0 + -10 = -10 1z = -10 Divide each side by '1'. z = -10 Simplifying z = -10
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