3(2N+1)=4(7-N)

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Solution for 3(2N+1)=4(7-N) equation: 


Simplifying
3(2N + 1) = 4(7 + -1N)

Reorder the terms:
3(1 + 2N) = 4(7 + -1N)
(1 * 3 + 2N * 3) = 4(7 + -1N)
(3 + 6N) = 4(7 + -1N)
3 + 6N = (7 * 4 + -1N * 4)
3 + 6N = (28 + -4N)

Solving
3 + 6N = 28 + -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.
3 + 6N + 4N = 28 + -4N + 4N

Combine like terms: 6N + 4N = 10N
3 + 10N = 28 + -4N + 4N

Combine like terms: -4N + 4N = 0
3 + 10N = 28 + 0
3 + 10N = 28

Add '-3' to each side of the equation.
3 + -3 + 10N = 28 + -3

Combine like terms: 3 + -3 = 0
0 + 10N = 28 + -3
10N = 28 + -3

Combine like terms: 28 + -3 = 25
10N = 25

Divide each side by '10'.
N = 2.5

Simplifying
N = 2.5

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