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Simplifying -8(z + 6) = -7z + -7 Reorder the terms: -8(6 + z) = -7z + -7 (6 * -8 + z * -8) = -7z + -7 (-48 + -8z) = -7z + -7 Reorder the terms: -48 + -8z = -7 + -7z Solving -48 + -8z = -7 + -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 = -7 + -7z + 7z Combine like terms: -8z + 7z = -1z -48 + -1z = -7 + -7z + 7z Combine like terms: -7z + 7z = 0 -48 + -1z = -7 + 0 -48 + -1z = -7 Add '48' to each side of the equation. -48 + 48 + -1z = -7 + 48 Combine like terms: -48 + 48 = 0 0 + -1z = -7 + 48 -1z = -7 + 48 Combine like terms: -7 + 48 = 41 -1z = 41 Divide each side by '-1'. z = -41 Simplifying z = -41
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