3(N+17)=2(5-3N)

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Solution for 3(N+17)=2(5-3N) equation:


Simplifying
3(N + 17) = 2(5 + -3N)

Reorder the terms:
3(17 + N) = 2(5 + -3N)
(17 * 3 + N * 3) = 2(5 + -3N)
(51 + 3N) = 2(5 + -3N)
51 + 3N = (5 * 2 + -3N * 2)
51 + 3N = (10 + -6N)

Solving
51 + 3N = 10 + -6N

Solving for variable 'N'.

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

Add '6N' to each side of the equation.
51 + 3N + 6N = 10 + -6N + 6N

Combine like terms: 3N + 6N = 9N
51 + 9N = 10 + -6N + 6N

Combine like terms: -6N + 6N = 0
51 + 9N = 10 + 0
51 + 9N = 10

Add '-51' to each side of the equation.
51 + -51 + 9N = 10 + -51

Combine like terms: 51 + -51 = 0
0 + 9N = 10 + -51
9N = 10 + -51

Combine like terms: 10 + -51 = -41
9N = -41

Divide each side by '9'.
N = -4.555555556

Simplifying
N = -4.555555556

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