4(8+3n)-(10n+8)=5+8n+1+3n

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Solution for 4(8+3n)-(10n+8)=5+8n+1+3n equation:


Simplifying
4(8 + 3n) + -1(10n + 8) = 5 + 8n + 1 + 3n
(8 * 4 + 3n * 4) + -1(10n + 8) = 5 + 8n + 1 + 3n
(32 + 12n) + -1(10n + 8) = 5 + 8n + 1 + 3n

Reorder the terms:
32 + 12n + -1(8 + 10n) = 5 + 8n + 1 + 3n
32 + 12n + (8 * -1 + 10n * -1) = 5 + 8n + 1 + 3n
32 + 12n + (-8 + -10n) = 5 + 8n + 1 + 3n

Reorder the terms:
32 + -8 + 12n + -10n = 5 + 8n + 1 + 3n

Combine like terms: 32 + -8 = 24
24 + 12n + -10n = 5 + 8n + 1 + 3n

Combine like terms: 12n + -10n = 2n
24 + 2n = 5 + 8n + 1 + 3n

Reorder the terms:
24 + 2n = 5 + 1 + 8n + 3n

Combine like terms: 5 + 1 = 6
24 + 2n = 6 + 8n + 3n

Combine like terms: 8n + 3n = 11n
24 + 2n = 6 + 11n

Solving
24 + 2n = 6 + 11n

Solving for variable 'n'.

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

Add '-11n' to each side of the equation.
24 + 2n + -11n = 6 + 11n + -11n

Combine like terms: 2n + -11n = -9n
24 + -9n = 6 + 11n + -11n

Combine like terms: 11n + -11n = 0
24 + -9n = 6 + 0
24 + -9n = 6

Add '-24' to each side of the equation.
24 + -24 + -9n = 6 + -24

Combine like terms: 24 + -24 = 0
0 + -9n = 6 + -24
-9n = 6 + -24

Combine like terms: 6 + -24 = -18
-9n = -18

Divide each side by '-9'.
n = 2

Simplifying
n = 2

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