30=-2(1+2N)+8(N+8)

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Solution for 30=-2(1+2N)+8(N+8) equation:


Simplifying
30 = -2(1 + 2N) + 8(N + 8)
30 = (1 * -2 + 2N * -2) + 8(N + 8)
30 = (-2 + -4N) + 8(N + 8)

Reorder the terms:
30 = -2 + -4N + 8(8 + N)
30 = -2 + -4N + (8 * 8 + N * 8)
30 = -2 + -4N + (64 + 8N)

Reorder the terms:
30 = -2 + 64 + -4N + 8N

Combine like terms: -2 + 64 = 62
30 = 62 + -4N + 8N

Combine like terms: -4N + 8N = 4N
30 = 62 + 4N

Solving
30 = 62 + 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.
30 + -4N = 62 + 4N + -4N

Combine like terms: 4N + -4N = 0
30 + -4N = 62 + 0
30 + -4N = 62

Add '-30' to each side of the equation.
30 + -30 + -4N = 62 + -30

Combine like terms: 30 + -30 = 0
0 + -4N = 62 + -30
-4N = 62 + -30

Combine like terms: 62 + -30 = 32
-4N = 32

Divide each side by '-4'.
N = -8

Simplifying
N = -8

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