360=(z+45)+2+55+78+74

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Solution for 360=(z+45)+2+55+78+74 equation:


Simplifying
360 = (z + 45) + 2 + 55 + 78 + 74

Reorder the terms:
360 = (45 + z) + 2 + 55 + 78 + 74

Remove parenthesis around (45 + z)
360 = 45 + z + 2 + 55 + 78 + 74

Reorder the terms:
360 = 45 + 2 + 55 + 78 + 74 + z

Combine like terms: 45 + 2 = 47
360 = 47 + 55 + 78 + 74 + z

Combine like terms: 47 + 55 = 102
360 = 102 + 78 + 74 + z

Combine like terms: 102 + 78 = 180
360 = 180 + 74 + z

Combine like terms: 180 + 74 = 254
360 = 254 + z

Solving
360 = 254 + 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.
360 + -1z = 254 + z + -1z

Combine like terms: z + -1z = 0
360 + -1z = 254 + 0
360 + -1z = 254

Add '-360' to each side of the equation.
360 + -360 + -1z = 254 + -360

Combine like terms: 360 + -360 = 0
0 + -1z = 254 + -360
-1z = 254 + -360

Combine like terms: 254 + -360 = -106
-1z = -106

Divide each side by '-1'.
z = 106

Simplifying
z = 106

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