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Simplifying -8z + -40 = 1 + -7z Reorder the terms: -40 + -8z = 1 + -7z Solving -40 + -8z = 1 + -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. -40 + -8z + 7z = 1 + -7z + 7z Combine like terms: -8z + 7z = -1z -40 + -1z = 1 + -7z + 7z Combine like terms: -7z + 7z = 0 -40 + -1z = 1 + 0 -40 + -1z = 1 Add '40' to each side of the equation. -40 + 40 + -1z = 1 + 40 Combine like terms: -40 + 40 = 0 0 + -1z = 1 + 40 -1z = 1 + 40 Combine like terms: 1 + 40 = 41 -1z = 41 Divide each side by '-1'. z = -41 Simplifying z = -41
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