5n-17=2(2n-7)

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Solution for 5n-17=2(2n-7) equation:


Simplifying
5n + -17 = 2(2n + -7)

Reorder the terms:
-17 + 5n = 2(2n + -7)

Reorder the terms:
-17 + 5n = 2(-7 + 2n)
-17 + 5n = (-7 * 2 + 2n * 2)
-17 + 5n = (-14 + 4n)

Solving
-17 + 5n = -14 + 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 = -14 + 4n + -4n

Combine like terms: 5n + -4n = 1n
-17 + 1n = -14 + 4n + -4n

Combine like terms: 4n + -4n = 0
-17 + 1n = -14 + 0
-17 + 1n = -14

Add '17' to each side of the equation.
-17 + 17 + 1n = -14 + 17

Combine like terms: -17 + 17 = 0
0 + 1n = -14 + 17
1n = -14 + 17

Combine like terms: -14 + 17 = 3
1n = 3

Divide each side by '1'.
n = 3

Simplifying
n = 3

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