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Simplifying -7(z + 8) = 4 + -6z Reorder the terms: -7(8 + z) = 4 + -6z (8 * -7 + z * -7) = 4 + -6z (-56 + -7z) = 4 + -6z Solving -56 + -7z = 4 + -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. -56 + -7z + 6z = 4 + -6z + 6z Combine like terms: -7z + 6z = -1z -56 + -1z = 4 + -6z + 6z Combine like terms: -6z + 6z = 0 -56 + -1z = 4 + 0 -56 + -1z = 4 Add '56' to each side of the equation. -56 + 56 + -1z = 4 + 56 Combine like terms: -56 + 56 = 0 0 + -1z = 4 + 56 -1z = 4 + 56 Combine like terms: 4 + 56 = 60 -1z = 60 Divide each side by '-1'. z = -60 Simplifying z = -60
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