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Simplifying 8(5 + -1z) * 7 = -1z Reorder the terms for easier multiplication: 8 * 7(5 + -1z) = -1z Multiply 8 * 7 56(5 + -1z) = -1z (5 * 56 + -1z * 56) = -1z (280 + -56z) = -1z Solving 280 + -56z = -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 280 + -56z + z = -1z + z Combine like terms: -56z + z = -55z 280 + -55z = -1z + z Combine like terms: -1z + z = 0 280 + -55z = 0 Add '-280' to each side of the equation. 280 + -280 + -55z = 0 + -280 Combine like terms: 280 + -280 = 0 0 + -55z = 0 + -280 -55z = 0 + -280 Combine like terms: 0 + -280 = -280 -55z = -280 Divide each side by '-55'. z = 5.090909091 Simplifying z = 5.090909091
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