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Simplifying 2 = 7(z + 6) Reorder the terms: 2 = 7(6 + z) 2 = (6 * 7 + z * 7) 2 = (42 + 7z) Solving 2 = 42 + 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. 2 + -7z = 42 + 7z + -7z Combine like terms: 7z + -7z = 0 2 + -7z = 42 + 0 2 + -7z = 42 Add '-2' to each side of the equation. 2 + -2 + -7z = 42 + -2 Combine like terms: 2 + -2 = 0 0 + -7z = 42 + -2 -7z = 42 + -2 Combine like terms: 42 + -2 = 40 -7z = 40 Divide each side by '-7'. z = -5.714285714 Simplifying z = -5.714285714
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