101=3(6+5n)+8

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Solution for 101=3(6+5n)+8 equation: 


Simplifying
101 = 3(6 + 5n) + 8
101 = (6 * 3 + 5n * 3) + 8
101 = (18 + 15n) + 8

Reorder the terms:
101 = 18 + 8 + 15n

Combine like terms: 18 + 8 = 26
101 = 26 + 15n

Solving
101 = 26 + 15n

Solving for variable 'n'.

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

Add '-15n' to each side of the equation.
101 + -15n = 26 + 15n + -15n

Combine like terms: 15n + -15n = 0
101 + -15n = 26 + 0
101 + -15n = 26

Add '-101' to each side of the equation.
101 + -101 + -15n = 26 + -101

Combine like terms: 101 + -101 = 0
0 + -15n = 26 + -101
-15n = 26 + -101

Combine like terms: 26 + -101 = -75
-15n = -75

Divide each side by '-15'.
n = 5

Simplifying
n = 5

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