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Simplifying z + 27 + 11z + 29 = 28z Reorder the terms: 27 + 29 + z + 11z = 28z Combine like terms: 27 + 29 = 56 56 + z + 11z = 28z Combine like terms: z + 11z = 12z 56 + 12z = 28z Solving 56 + 12z = 28z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-28z' to each side of the equation. 56 + 12z + -28z = 28z + -28z Combine like terms: 12z + -28z = -16z 56 + -16z = 28z + -28z Combine like terms: 28z + -28z = 0 56 + -16z = 0 Add '-56' to each side of the equation. 56 + -56 + -16z = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -16z = 0 + -56 -16z = 0 + -56 Combine like terms: 0 + -56 = -56 -16z = -56 Divide each side by '-16'. z = 3.5 Simplifying z = 3.5
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