2[3.5n+6]=2n-2

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Solution for 2[3.5n+6]=2n-2 equation:


Simplifying
2[3.5n + 6] = 2n + -2

Reorder the terms:
2[6 + 3.5n] = 2n + -2
[6 * 2 + 3.5n * 2] = 2n + -2
[12 + 7n] = 2n + -2

Reorder the terms:
12 + 7n = -2 + 2n

Solving
12 + 7n = -2 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
12 + 7n + -2n = -2 + 2n + -2n

Combine like terms: 7n + -2n = 5n
12 + 5n = -2 + 2n + -2n

Combine like terms: 2n + -2n = 0
12 + 5n = -2 + 0
12 + 5n = -2

Add '-12' to each side of the equation.
12 + -12 + 5n = -2 + -12

Combine like terms: 12 + -12 = 0
0 + 5n = -2 + -12
5n = -2 + -12

Combine like terms: -2 + -12 = -14
5n = -14

Divide each side by '5'.
n = -2.8

Simplifying
n = -2.8

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