-5n+17=4(n+55)

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Solution for -5n+17=4(n+55) equation:


Simplifying
-5n + 17 = 4(n + 55)

Reorder the terms:
17 + -5n = 4(n + 55)

Reorder the terms:
17 + -5n = 4(55 + n)
17 + -5n = (55 * 4 + n * 4)
17 + -5n = (220 + 4n)

Solving
17 + -5n = 220 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
17 + -5n + -4n = 220 + 4n + -4n

Combine like terms: -5n + -4n = -9n
17 + -9n = 220 + 4n + -4n

Combine like terms: 4n + -4n = 0
17 + -9n = 220 + 0
17 + -9n = 220

Add '-17' to each side of the equation.
17 + -17 + -9n = 220 + -17

Combine like terms: 17 + -17 = 0
0 + -9n = 220 + -17
-9n = 220 + -17

Combine like terms: 220 + -17 = 203
-9n = 203

Divide each side by '-9'.
n = -22.55555556

Simplifying
n = -22.55555556

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