(z+45)+z+55+78+74=360

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Solution for (z+45)+z+55+78+74=360 equation:


Simplifying
(z + 45) + z + 55 + 78 + 74 = 360

Reorder the terms:
(45 + z) + z + 55 + 78 + 74 = 360

Remove parenthesis around (45 + z)
45 + z + z + 55 + 78 + 74 = 360

Reorder the terms:
45 + 55 + 78 + 74 + z + z = 360

Combine like terms: 45 + 55 = 100
100 + 78 + 74 + z + z = 360

Combine like terms: 100 + 78 = 178
178 + 74 + z + z = 360

Combine like terms: 178 + 74 = 252
252 + z + z = 360

Combine like terms: z + z = 2z
252 + 2z = 360

Solving
252 + 2z = 360

Solving for variable 'z'.

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

Add '-252' to each side of the equation.
252 + -252 + 2z = 360 + -252

Combine like terms: 252 + -252 = 0
0 + 2z = 360 + -252
2z = 360 + -252

Combine like terms: 360 + -252 = 108
2z = 108

Divide each side by '2'.
z = 54

Simplifying
z = 54

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