Z=4(a+5b)+7(3a+b)

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Solution for Z=4(a+5b)+7(3a+b) equation: 


Simplifying
Z = 4(a + 5b) + 7(3a + b)
Z = (a * 4 + 5b * 4) + 7(3a + b)
Z = (4a + 20b) + 7(3a + b)
Z = 4a + 20b + (3a * 7 + b * 7)
Z = 4a + 20b + (21a + 7b)

Reorder the terms:
Z = 4a + 21a + 20b + 7b

Combine like terms: 4a + 21a = 25a
Z = 25a + 20b + 7b

Combine like terms: 20b + 7b = 27b
Z = 25a + 27b

Solving
Z = 25a + 27b

Solving for variable 'Z'.

Move all terms containing Z to the left, all other terms to the right.

Simplifying
Z = 25a + 27b

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