6[n-1]+2[n+1]=10+7n

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Solution for 6[n-1]+2[n+1]=10+7n equation:


Simplifying
6[n + -1] + 2[n + 1] = 10 + 7n

Reorder the terms:
6[-1 + n] + 2[n + 1] = 10 + 7n
[-1 * 6 + n * 6] + 2[n + 1] = 10 + 7n
[-6 + 6n] + 2[n + 1] = 10 + 7n

Reorder the terms:
-6 + 6n + 2[1 + n] = 10 + 7n
-6 + 6n + [1 * 2 + n * 2] = 10 + 7n
-6 + 6n + [2 + 2n] = 10 + 7n

Reorder the terms:
-6 + 2 + 6n + 2n = 10 + 7n

Combine like terms: -6 + 2 = -4
-4 + 6n + 2n = 10 + 7n

Combine like terms: 6n + 2n = 8n
-4 + 8n = 10 + 7n

Solving
-4 + 8n = 10 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
-4 + 8n + -7n = 10 + 7n + -7n

Combine like terms: 8n + -7n = 1n
-4 + 1n = 10 + 7n + -7n

Combine like terms: 7n + -7n = 0
-4 + 1n = 10 + 0
-4 + 1n = 10

Add '4' to each side of the equation.
-4 + 4 + 1n = 10 + 4

Combine like terms: -4 + 4 = 0
0 + 1n = 10 + 4
1n = 10 + 4

Combine like terms: 10 + 4 = 14
1n = 14

Divide each side by '1'.
n = 14

Simplifying
n = 14

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