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Simplifying -8(z + 8) = 4 + -7z Reorder the terms: -8(8 + z) = 4 + -7z (8 * -8 + z * -8) = 4 + -7z (-64 + -8z) = 4 + -7z Solving -64 + -8z = 4 + -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. -64 + -8z + 7z = 4 + -7z + 7z Combine like terms: -8z + 7z = -1z -64 + -1z = 4 + -7z + 7z Combine like terms: -7z + 7z = 0 -64 + -1z = 4 + 0 -64 + -1z = 4 Add '64' to each side of the equation. -64 + 64 + -1z = 4 + 64 Combine like terms: -64 + 64 = 0 0 + -1z = 4 + 64 -1z = 4 + 64 Combine like terms: 4 + 64 = 68 -1z = 68 Divide each side by '-1'. z = -68 Simplifying z = -68
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