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Simplifying 8(7 + -1z) = -1z (7 * 8 + -1z * 8) = -1z (56 + -8z) = -1z Solving 56 + -8z = -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 56 + -8z + z = -1z + z Combine like terms: -8z + z = -7z 56 + -7z = -1z + z Combine like terms: -1z + z = 0 56 + -7z = 0 Add '-56' to each side of the equation. 56 + -56 + -7z = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -7z = 0 + -56 -7z = 0 + -56 Combine like terms: 0 + -56 = -56 -7z = -56 Divide each side by '-7'. z = 8 Simplifying z = 8
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