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Simplifying -7(z + -2) = 4z + -8 Reorder the terms: -7(-2 + z) = 4z + -8 (-2 * -7 + z * -7) = 4z + -8 (14 + -7z) = 4z + -8 Reorder the terms: 14 + -7z = -8 + 4z Solving 14 + -7z = -8 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 14 + -7z + -4z = -8 + 4z + -4z Combine like terms: -7z + -4z = -11z 14 + -11z = -8 + 4z + -4z Combine like terms: 4z + -4z = 0 14 + -11z = -8 + 0 14 + -11z = -8 Add '-14' to each side of the equation. 14 + -14 + -11z = -8 + -14 Combine like terms: 14 + -14 = 0 0 + -11z = -8 + -14 -11z = -8 + -14 Combine like terms: -8 + -14 = -22 -11z = -22 Divide each side by '-11'. z = 2 Simplifying z = 2
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