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Simplifying 8z + 4 + -6z = 7 + z + 3 Reorder the terms: 4 + 8z + -6z = 7 + z + 3 Combine like terms: 8z + -6z = 2z 4 + 2z = 7 + z + 3 Reorder the terms: 4 + 2z = 7 + 3 + z Combine like terms: 7 + 3 = 10 4 + 2z = 10 + z Solving 4 + 2z = 10 + 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. 4 + 2z + -1z = 10 + z + -1z Combine like terms: 2z + -1z = 1z 4 + 1z = 10 + z + -1z Combine like terms: z + -1z = 0 4 + 1z = 10 + 0 4 + 1z = 10 Add '-4' to each side of the equation. 4 + -4 + 1z = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 1z = 10 + -4 1z = 10 + -4 Combine like terms: 10 + -4 = 6 1z = 6 Divide each side by '1'. z = 6 Simplifying z = 6
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