2[7-7(1-n)]+4n=-16+3[6(n+1)-3n]n

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Solution for 2[7-7(1-n)]+4n=-16+3[6(n+1)-3n]n equation: 


Simplifying
2[7 + -7(1 + -1n)] + 4n = -16 + 3[6(n + 1) + -3n] * n
2[7 + (1 * -7 + -1n * -7)] + 4n = -16 + 3[6(n + 1) + -3n] * n
2[7 + (-7 + 7n)] + 4n = -16 + 3[6(n + 1) + -3n] * n

Combine like terms: 7 + -7 = 0
2[0 + 7n] + 4n = -16 + 3[6(n + 1) + -3n] * n
2[7n] + 4n = -16 + 3[6(n + 1) + -3n] * n

Remove brackets around [7n]
2 * 7n + 4n = -16 + 3[6(n + 1) + -3n] * n

Multiply 2 * 7
14n + 4n = -16 + 3[6(n + 1) + -3n] * n

Combine like terms: 14n + 4n = 18n
18n = -16 + 3[6(n + 1) + -3n] * n

Reorder the terms:
18n = -16 + 3[6(1 + n) + -3n] * n
18n = -16 + 3[(1 * 6 + n * 6) + -3n] * n
18n = -16 + 3[(6 + 6n) + -3n] * n

Combine like terms: 6n + -3n = 3n
18n = -16 + 3[6 + 3n] * n

Reorder the terms for easier multiplication:
18n = -16 + 3n[6 + 3n]
18n = -16 + [6 * 3n + 3n * 3n]
18n = -16 + [18n + 9n2]

Add '-18n' to each side of the equation.
18n + -18n = -16 + 18n + -18n + 9n2

Combine like terms: 18n + -18n = 0
0 = -16 + 18n + -18n + 9n2

Combine like terms: 18n + -18n = 0
0 = -16 + 0 + 9n2
0 = -16 + 9n2

Solving
0 = -16 + 9n2

Solving for variable 'n'.

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

Add '-9n2' to each side of the equation.
0 + -9n2 = -16 + 9n2 + -9n2
Remove the zero:
-9n2 = -16 + 9n2 + -9n2

Combine like terms: 9n2 + -9n2 = 0
-9n2 = -16 + 0
-9n2 = -16

Divide each side by '-9'.
n2 = 1.777777778

Simplifying
n2 = 1.777777778

Take the square root of each side:
n = {-1.333333333, 1.333333333}

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