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Simplifying 473 = 32(z + -977) + -135 Reorder the terms: 473 = 32(-977 + z) + -135 473 = (-977 * 32 + z * 32) + -135 473 = (-31264 + 32z) + -135 Reorder the terms: 473 = -31264 + -135 + 32z Combine like terms: -31264 + -135 = -31399 473 = -31399 + 32z Solving 473 = -31399 + 32z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-32z' to each side of the equation. 473 + -32z = -31399 + 32z + -32z Combine like terms: 32z + -32z = 0 473 + -32z = -31399 + 0 473 + -32z = -31399 Add '-473' to each side of the equation. 473 + -473 + -32z = -31399 + -473 Combine like terms: 473 + -473 = 0 0 + -32z = -31399 + -473 -32z = -31399 + -473 Combine like terms: -31399 + -473 = -31872 -32z = -31872 Divide each side by '-32'. z = 996 Simplifying z = 996
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