8(4n-3)+2=6(5n+4)+n

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Solution for 8(4n-3)+2=6(5n+4)+n equation:


Simplifying
8(4n + -3) + 2 = 6(5n + 4) + n

Reorder the terms:
8(-3 + 4n) + 2 = 6(5n + 4) + n
(-3 * 8 + 4n * 8) + 2 = 6(5n + 4) + n
(-24 + 32n) + 2 = 6(5n + 4) + n

Reorder the terms:
-24 + 2 + 32n = 6(5n + 4) + n

Combine like terms: -24 + 2 = -22
-22 + 32n = 6(5n + 4) + n

Reorder the terms:
-22 + 32n = 6(4 + 5n) + n
-22 + 32n = (4 * 6 + 5n * 6) + n
-22 + 32n = (24 + 30n) + n

Combine like terms: 30n + n = 31n
-22 + 32n = 24 + 31n

Solving
-22 + 32n = 24 + 31n

Solving for variable 'n'.

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

Add '-31n' to each side of the equation.
-22 + 32n + -31n = 24 + 31n + -31n

Combine like terms: 32n + -31n = 1n
-22 + 1n = 24 + 31n + -31n

Combine like terms: 31n + -31n = 0
-22 + 1n = 24 + 0
-22 + 1n = 24

Add '22' to each side of the equation.
-22 + 22 + 1n = 24 + 22

Combine like terms: -22 + 22 = 0
0 + 1n = 24 + 22
1n = 24 + 22

Combine like terms: 24 + 22 = 46
1n = 46

Divide each side by '1'.
n = 46

Simplifying
n = 46

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