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Simplifying -7(z + 1) = -8z Reorder the terms: -7(1 + z) = -8z (1 * -7 + z * -7) = -8z (-7 + -7z) = -8z Solving -7 + -7z = -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. -7 + -7z + 8z = -8z + 8z Combine like terms: -7z + 8z = 1z -7 + 1z = -8z + 8z Combine like terms: -8z + 8z = 0 -7 + 1z = 0 Add '7' to each side of the equation. -7 + 7 + 1z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 1z = 0 + 7 1z = 0 + 7 Combine like terms: 0 + 7 = 7 1z = 7 Divide each side by '1'. z = 7 Simplifying z = 7
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