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Simplifying 7z + 10 + -4z = 8 + 2z + 10 Reorder the terms: 10 + 7z + -4z = 8 + 2z + 10 Combine like terms: 7z + -4z = 3z 10 + 3z = 8 + 2z + 10 Reorder the terms: 10 + 3z = 8 + 10 + 2z Combine like terms: 8 + 10 = 18 10 + 3z = 18 + 2z Solving 10 + 3z = 18 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 10 + 3z + -2z = 18 + 2z + -2z Combine like terms: 3z + -2z = 1z 10 + 1z = 18 + 2z + -2z Combine like terms: 2z + -2z = 0 10 + 1z = 18 + 0 10 + 1z = 18 Add '-10' to each side of the equation. 10 + -10 + 1z = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 18 + -10 1z = 18 + -10 Combine like terms: 18 + -10 = 8 1z = 8 Divide each side by '1'. z = 8 Simplifying z = 8
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