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Simplifying 4z + 10 + -2z = 6 + z + 8 Reorder the terms: 10 + 4z + -2z = 6 + z + 8 Combine like terms: 4z + -2z = 2z 10 + 2z = 6 + z + 8 Reorder the terms: 10 + 2z = 6 + 8 + z Combine like terms: 6 + 8 = 14 10 + 2z = 14 + z Solving 10 + 2z = 14 + 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 = 14 + z + -1z Combine like terms: 2z + -1z = 1z 10 + 1z = 14 + z + -1z Combine like terms: z + -1z = 0 10 + 1z = 14 + 0 10 + 1z = 14 Add '-10' to each side of the equation. 10 + -10 + 1z = 14 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 14 + -10 1z = 14 + -10 Combine like terms: 14 + -10 = 4 1z = 4 Divide each side by '1'. z = 4 Simplifying z = 4
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