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Simplifying -8(z + -6) = -7z + -4 Reorder the terms: -8(-6 + z) = -7z + -4 (-6 * -8 + z * -8) = -7z + -4 (48 + -8z) = -7z + -4 Reorder the terms: 48 + -8z = -4 + -7z Solving 48 + -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. 48 + -8z + 7z = -4 + -7z + 7z Combine like terms: -8z + 7z = -1z 48 + -1z = -4 + -7z + 7z Combine like terms: -7z + 7z = 0 48 + -1z = -4 + 0 48 + -1z = -4 Add '-48' to each side of the equation. 48 + -48 + -1z = -4 + -48 Combine like terms: 48 + -48 = 0 0 + -1z = -4 + -48 -1z = -4 + -48 Combine like terms: -4 + -48 = -52 -1z = -52 Divide each side by '-1'. z = 52 Simplifying z = 52
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