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Simplifying 7z = 15 + -6(z + -4) Reorder the terms: 7z = 15 + -6(-4 + z) 7z = 15 + (-4 * -6 + z * -6) 7z = 15 + (24 + -6z) Combine like terms: 15 + 24 = 39 7z = 39 + -6z Solving 7z = 39 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 7z + 6z = 39 + -6z + 6z Combine like terms: 7z + 6z = 13z 13z = 39 + -6z + 6z Combine like terms: -6z + 6z = 0 13z = 39 + 0 13z = 39 Divide each side by '13'. z = 3 Simplifying z = 3
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