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Simplifying -8(z + -4) = -7z + -5 Reorder the terms: -8(-4 + z) = -7z + -5 (-4 * -8 + z * -8) = -7z + -5 (32 + -8z) = -7z + -5 Reorder the terms: 32 + -8z = -5 + -7z Solving 32 + -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. 32 + -8z + 7z = -5 + -7z + 7z Combine like terms: -8z + 7z = -1z 32 + -1z = -5 + -7z + 7z Combine like terms: -7z + 7z = 0 32 + -1z = -5 + 0 32 + -1z = -5 Add '-32' to each side of the equation. 32 + -32 + -1z = -5 + -32 Combine like terms: 32 + -32 = 0 0 + -1z = -5 + -32 -1z = -5 + -32 Combine like terms: -5 + -32 = -37 -1z = -37 Divide each side by '-1'. z = 37 Simplifying z = 37
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