3(n-4)-(2-7n)=9n

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Solution for 3(n-4)-(2-7n)=9n equation:


Simplifying
3(n + -4) + -1(2 + -7n) = 9n

Reorder the terms:
3(-4 + n) + -1(2 + -7n) = 9n
(-4 * 3 + n * 3) + -1(2 + -7n) = 9n
(-12 + 3n) + -1(2 + -7n) = 9n
-12 + 3n + (2 * -1 + -7n * -1) = 9n
-12 + 3n + (-2 + 7n) = 9n

Reorder the terms:
-12 + -2 + 3n + 7n = 9n

Combine like terms: -12 + -2 = -14
-14 + 3n + 7n = 9n

Combine like terms: 3n + 7n = 10n
-14 + 10n = 9n

Solving
-14 + 10n = 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.
-14 + 10n + -9n = 9n + -9n

Combine like terms: 10n + -9n = 1n
-14 + 1n = 9n + -9n

Combine like terms: 9n + -9n = 0
-14 + 1n = 0

Add '14' to each side of the equation.
-14 + 14 + 1n = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 1n = 0 + 14
1n = 0 + 14

Combine like terms: 0 + 14 = 14
1n = 14

Divide each side by '1'.
n = 14

Simplifying
n = 14

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