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Simplifying 5z = -7(z + -4) Reorder the terms: 5z = -7(-4 + z) 5z = (-4 * -7 + z * -7) 5z = (28 + -7z) Solving 5z = 28 + -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. 5z + 7z = 28 + -7z + 7z Combine like terms: 5z + 7z = 12z 12z = 28 + -7z + 7z Combine like terms: -7z + 7z = 0 12z = 28 + 0 12z = 28 Divide each side by '12'. z = 2.333333333 Simplifying z = 2.333333333
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