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Simplifying 12 = 7(7 + -1z) 12 = (7 * 7 + -1z * 7) 12 = (49 + -7z) Solving 12 = 49 + -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. 12 + 7z = 49 + -7z + 7z Combine like terms: -7z + 7z = 0 12 + 7z = 49 + 0 12 + 7z = 49 Add '-12' to each side of the equation. 12 + -12 + 7z = 49 + -12 Combine like terms: 12 + -12 = 0 0 + 7z = 49 + -12 7z = 49 + -12 Combine like terms: 49 + -12 = 37 7z = 37 Divide each side by '7'. z = 5.285714286 Simplifying z = 5.285714286
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