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Simplifying 5z + 2(z + -6) = 0 Reorder the terms: 5z + 2(-6 + z) = 0 5z + (-6 * 2 + z * 2) = 0 5z + (-12 + 2z) = 0 Reorder the terms: -12 + 5z + 2z = 0 Combine like terms: 5z + 2z = 7z -12 + 7z = 0 Solving -12 + 7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 7z = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 7z = 0 + 12 7z = 0 + 12 Combine like terms: 0 + 12 = 12 7z = 12 Divide each side by '7'. z = 1.714285714 Simplifying z = 1.714285714
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