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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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