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Simplifying 6z + 3 + -7z = 51 + -7z Reorder the terms: 3 + 6z + -7z = 51 + -7z Combine like terms: 6z + -7z = -1z 3 + -1z = 51 + -7z Solving 3 + -1z = 51 + -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. 3 + -1z + 7z = 51 + -7z + 7z Combine like terms: -1z + 7z = 6z 3 + 6z = 51 + -7z + 7z Combine like terms: -7z + 7z = 0 3 + 6z = 51 + 0 3 + 6z = 51 Add '-3' to each side of the equation. 3 + -3 + 6z = 51 + -3 Combine like terms: 3 + -3 = 0 0 + 6z = 51 + -3 6z = 51 + -3 Combine like terms: 51 + -3 = 48 6z = 48 Divide each side by '6'. z = 8 Simplifying z = 8
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