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

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


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

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

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

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

Reorder the terms:
4 + 14n = -16 + 3[6(n + 1) + -3n]

Reorder the terms:
4 + 14n = -16 + 3[6(1 + n) + -3n]
4 + 14n = -16 + 3[(1 * 6 + n * 6) + -3n]
4 + 14n = -16 + 3[(6 + 6n) + -3n]

Combine like terms: 6n + -3n = 3n
4 + 14n = -16 + 3[6 + 3n]
4 + 14n = -16 + [6 * 3 + 3n * 3]
4 + 14n = -16 + [18 + 9n]

Combine like terms: -16 + 18 = 2
4 + 14n = 2 + 9n

Solving
4 + 14n = 2 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
4 + 14n + -9n = 2 + 9n + -9n

Combine like terms: 14n + -9n = 5n
4 + 5n = 2 + 9n + -9n

Combine like terms: 9n + -9n = 0
4 + 5n = 2 + 0
4 + 5n = 2

Add '-4' to each side of the equation.
4 + -4 + 5n = 2 + -4

Combine like terms: 4 + -4 = 0
0 + 5n = 2 + -4
5n = 2 + -4

Combine like terms: 2 + -4 = -2
5n = -2

Divide each side by '5'.
n = -0.4

Simplifying
n = -0.4

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