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Simplifying 7(4 + -1z) = -1z (4 * 7 + -1z * 7) = -1z (28 + -7z) = -1z Solving 28 + -7z = -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. 28 + -7z + z = -1z + z Combine like terms: -7z + z = -6z 28 + -6z = -1z + z Combine like terms: -1z + z = 0 28 + -6z = 0 Add '-28' to each side of the equation. 28 + -28 + -6z = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -6z = 0 + -28 -6z = 0 + -28 Combine like terms: 0 + -28 = -28 -6z = -28 Divide each side by '-6'. z = 4.666666667 Simplifying z = 4.666666667
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