185=3n+22(n+5)

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Solution for 185=3n+22(n+5) equation:


Simplifying
185 = 3n + 22(n + 5)

Reorder the terms:
185 = 3n + 22(5 + n)
185 = 3n + (5 * 22 + n * 22)
185 = 3n + (110 + 22n)

Reorder the terms:
185 = 110 + 3n + 22n

Combine like terms: 3n + 22n = 25n
185 = 110 + 25n

Solving
185 = 110 + 25n

Solving for variable 'n'.

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

Add '-25n' to each side of the equation.
185 + -25n = 110 + 25n + -25n

Combine like terms: 25n + -25n = 0
185 + -25n = 110 + 0
185 + -25n = 110

Add '-185' to each side of the equation.
185 + -185 + -25n = 110 + -185

Combine like terms: 185 + -185 = 0
0 + -25n = 110 + -185
-25n = 110 + -185

Combine like terms: 110 + -185 = -75
-25n = -75

Divide each side by '-25'.
n = 3

Simplifying
n = 3

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