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Simplifying 6(z + 2) = 7z + -6 Reorder the terms: 6(2 + z) = 7z + -6 (2 * 6 + z * 6) = 7z + -6 (12 + 6z) = 7z + -6 Reorder the terms: 12 + 6z = -6 + 7z Solving 12 + 6z = -6 + 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 + 6z + -7z = -6 + 7z + -7z Combine like terms: 6z + -7z = -1z 12 + -1z = -6 + 7z + -7z Combine like terms: 7z + -7z = 0 12 + -1z = -6 + 0 12 + -1z = -6 Add '-12' to each side of the equation. 12 + -12 + -1z = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -1z = -6 + -12 -1z = -6 + -12 Combine like terms: -6 + -12 = -18 -1z = -18 Divide each side by '-1'. z = 18 Simplifying z = 18
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