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Simplifying -71(z + -29) = z + 54 Reorder the terms: -71(-29 + z) = z + 54 (-29 * -71 + z * -71) = z + 54 (2059 + -71z) = z + 54 Reorder the terms: 2059 + -71z = 54 + z Solving 2059 + -71z = 54 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 2059 + -71z + -1z = 54 + z + -1z Combine like terms: -71z + -1z = -72z 2059 + -72z = 54 + z + -1z Combine like terms: z + -1z = 0 2059 + -72z = 54 + 0 2059 + -72z = 54 Add '-2059' to each side of the equation. 2059 + -2059 + -72z = 54 + -2059 Combine like terms: 2059 + -2059 = 0 0 + -72z = 54 + -2059 -72z = 54 + -2059 Combine like terms: 54 + -2059 = -2005 -72z = -2005 Divide each side by '-72'. z = 27.84722222 Simplifying z = 27.84722222
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