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Simplifying -74z + -81 = z + -1(-33) Reorder the terms: -81 + -74z = z + -1(-33) Multiply -1 * -33 -81 + -74z = z + 33 Reorder the terms: -81 + -74z = 33 + z Solving -81 + -74z = 33 + 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. -81 + -74z + -1z = 33 + z + -1z Combine like terms: -74z + -1z = -75z -81 + -75z = 33 + z + -1z Combine like terms: z + -1z = 0 -81 + -75z = 33 + 0 -81 + -75z = 33 Add '81' to each side of the equation. -81 + 81 + -75z = 33 + 81 Combine like terms: -81 + 81 = 0 0 + -75z = 33 + 81 -75z = 33 + 81 Combine like terms: 33 + 81 = 114 -75z = 114 Divide each side by '-75'. z = -1.52 Simplifying z = -1.52
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