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Simplifying 12 + 2(z + -6) = -7z + 7 Reorder the terms: 12 + 2(-6 + z) = -7z + 7 12 + (-6 * 2 + z * 2) = -7z + 7 12 + (-12 + 2z) = -7z + 7 Combine like terms: 12 + -12 = 0 0 + 2z = -7z + 7 2z = -7z + 7 Reorder the terms: 2z = 7 + -7z Solving 2z = 7 + -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. 2z + 7z = 7 + -7z + 7z Combine like terms: 2z + 7z = 9z 9z = 7 + -7z + 7z Combine like terms: -7z + 7z = 0 9z = 7 + 0 9z = 7 Divide each side by '9'. z = 0.7777777778 Simplifying z = 0.7777777778
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