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

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


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

Reorder the terms:
7(-4 + 3n) = (2n + 9) + 3
(-4 * 7 + 3n * 7) = (2n + 9) + 3
(-28 + 21n) = (2n + 9) + 3

Reorder the terms:
-28 + 21n = (9 + 2n) + 3

Remove parenthesis around (9 + 2n)
-28 + 21n = 9 + 2n + 3

Reorder the terms:
-28 + 21n = 9 + 3 + 2n

Combine like terms: 9 + 3 = 12
-28 + 21n = 12 + 2n

Solving
-28 + 21n = 12 + 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.
-28 + 21n + -2n = 12 + 2n + -2n

Combine like terms: 21n + -2n = 19n
-28 + 19n = 12 + 2n + -2n

Combine like terms: 2n + -2n = 0
-28 + 19n = 12 + 0
-28 + 19n = 12

Add '28' to each side of the equation.
-28 + 28 + 19n = 12 + 28

Combine like terms: -28 + 28 = 0
0 + 19n = 12 + 28
19n = 12 + 28

Combine like terms: 12 + 28 = 40
19n = 40

Divide each side by '19'.
n = 2.105263158

Simplifying
n = 2.105263158

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