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