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Simplifying 8(2 + -1z) = -7z (2 * 8 + -1z * 8) = -7z (16 + -8z) = -7z Solving 16 + -8z = -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. 16 + -8z + 7z = -7z + 7z Combine like terms: -8z + 7z = -1z 16 + -1z = -7z + 7z Combine like terms: -7z + 7z = 0 16 + -1z = 0 Add '-16' to each side of the equation. 16 + -16 + -1z = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1z = 0 + -16 -1z = 0 + -16 Combine like terms: 0 + -16 = -16 -1z = -16 Divide each side by '-1'. z = 16 Simplifying z = 16
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