N+4-1=5(n-2)-7(n-7)

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Solution for N+4-1=5(n-2)-7(n-7) equation:


Simplifying
N + 4 + -1 = 5(n + -2) + -7(n + -7)

Reorder the terms:
4 + -1 + N = 5(n + -2) + -7(n + -7)

Combine like terms: 4 + -1 = 3
3 + N = 5(n + -2) + -7(n + -7)

Reorder the terms:
3 + N = 5(-2 + n) + -7(n + -7)
3 + N = (-2 * 5 + n * 5) + -7(n + -7)
3 + N = (-10 + 5n) + -7(n + -7)

Reorder the terms:
3 + N = -10 + 5n + -7(-7 + n)
3 + N = -10 + 5n + (-7 * -7 + n * -7)
3 + N = -10 + 5n + (49 + -7n)

Reorder the terms:
3 + N = -10 + 49 + 5n + -7n

Combine like terms: -10 + 49 = 39
3 + N = 39 + 5n + -7n

Combine like terms: 5n + -7n = -2n
3 + N = 39 + -2n

Solving
3 + N = 39 + -2n

Solving for variable 'N'.

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

Add '-3' to each side of the equation.
3 + -3 + N = 39 + -3 + -2n

Combine like terms: 3 + -3 = 0
0 + N = 39 + -3 + -2n
N = 39 + -3 + -2n

Combine like terms: 39 + -3 = 36
N = 36 + -2n

Simplifying
N = 36 + -2n

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