6(n+16)-5=2+3(n-25)

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Solution for 6(n+16)-5=2+3(n-25) equation:


Simplifying
6(n + 16) + -5 = 2 + 3(n + -25)

Reorder the terms:
6(16 + n) + -5 = 2 + 3(n + -25)
(16 * 6 + n * 6) + -5 = 2 + 3(n + -25)
(96 + 6n) + -5 = 2 + 3(n + -25)

Reorder the terms:
96 + -5 + 6n = 2 + 3(n + -25)

Combine like terms: 96 + -5 = 91
91 + 6n = 2 + 3(n + -25)

Reorder the terms:
91 + 6n = 2 + 3(-25 + n)
91 + 6n = 2 + (-25 * 3 + n * 3)
91 + 6n = 2 + (-75 + 3n)

Combine like terms: 2 + -75 = -73
91 + 6n = -73 + 3n

Solving
91 + 6n = -73 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
91 + 6n + -3n = -73 + 3n + -3n

Combine like terms: 6n + -3n = 3n
91 + 3n = -73 + 3n + -3n

Combine like terms: 3n + -3n = 0
91 + 3n = -73 + 0
91 + 3n = -73

Add '-91' to each side of the equation.
91 + -91 + 3n = -73 + -91

Combine like terms: 91 + -91 = 0
0 + 3n = -73 + -91
3n = -73 + -91

Combine like terms: -73 + -91 = -164
3n = -164

Divide each side by '3'.
n = -54.66666667

Simplifying
n = -54.66666667

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