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Simplifying 7z + 7 + -4z = 10 + 2z + 5 Reorder the terms: 7 + 7z + -4z = 10 + 2z + 5 Combine like terms: 7z + -4z = 3z 7 + 3z = 10 + 2z + 5 Reorder the terms: 7 + 3z = 10 + 5 + 2z Combine like terms: 10 + 5 = 15 7 + 3z = 15 + 2z Solving 7 + 3z = 15 + 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. 7 + 3z + -2z = 15 + 2z + -2z Combine like terms: 3z + -2z = 1z 7 + 1z = 15 + 2z + -2z Combine like terms: 2z + -2z = 0 7 + 1z = 15 + 0 7 + 1z = 15 Add '-7' to each side of the equation. 7 + -7 + 1z = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 1z = 15 + -7 1z = 15 + -7 Combine like terms: 15 + -7 = 8 1z = 8 Divide each side by '1'. z = 8 Simplifying z = 8
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