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Simplifying -2(-4 + -3z) = 7z (-4 * -2 + -3z * -2) = 7z (8 + 6z) = 7z Solving 8 + 6z = 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. 8 + 6z + -7z = 7z + -7z Combine like terms: 6z + -7z = -1z 8 + -1z = 7z + -7z Combine like terms: 7z + -7z = 0 8 + -1z = 0 Add '-8' to each side of the equation. 8 + -8 + -1z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1z = 0 + -8 -1z = 0 + -8 Combine like terms: 0 + -8 = -8 -1z = -8 Divide each side by '-1'. z = 8 Simplifying z = 8
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