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Simplifying 7(z + -8) = 5 + 8z Reorder the terms: 7(-8 + z) = 5 + 8z (-8 * 7 + z * 7) = 5 + 8z (-56 + 7z) = 5 + 8z Solving -56 + 7z = 5 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -56 + 7z + -8z = 5 + 8z + -8z Combine like terms: 7z + -8z = -1z -56 + -1z = 5 + 8z + -8z Combine like terms: 8z + -8z = 0 -56 + -1z = 5 + 0 -56 + -1z = 5 Add '56' to each side of the equation. -56 + 56 + -1z = 5 + 56 Combine like terms: -56 + 56 = 0 0 + -1z = 5 + 56 -1z = 5 + 56 Combine like terms: 5 + 56 = 61 -1z = 61 Divide each side by '-1'. z = -61 Simplifying z = -61
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