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Simplifying -8(z + 7) = -7z + -5 Reorder the terms: -8(7 + z) = -7z + -5 (7 * -8 + z * -8) = -7z + -5 (-56 + -8z) = -7z + -5 Reorder the terms: -56 + -8z = -5 + -7z Solving -56 + -8z = -5 + -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. -56 + -8z + 7z = -5 + -7z + 7z Combine like terms: -8z + 7z = -1z -56 + -1z = -5 + -7z + 7z Combine like terms: -7z + 7z = 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 = 51 -1z = 51 Divide each side by '-1'. z = -51 Simplifying z = -51
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