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

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


Simplifying
3(3n + 1) = 8(4n + 5) + 3

Reorder the terms:
3(1 + 3n) = 8(4n + 5) + 3
(1 * 3 + 3n * 3) = 8(4n + 5) + 3
(3 + 9n) = 8(4n + 5) + 3

Reorder the terms:
3 + 9n = 8(5 + 4n) + 3
3 + 9n = (5 * 8 + 4n * 8) + 3
3 + 9n = (40 + 32n) + 3

Reorder the terms:
3 + 9n = 40 + 3 + 32n

Combine like terms: 40 + 3 = 43
3 + 9n = 43 + 32n

Solving
3 + 9n = 43 + 32n

Solving for variable 'n'.

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

Add '-32n' to each side of the equation.
3 + 9n + -32n = 43 + 32n + -32n

Combine like terms: 9n + -32n = -23n
3 + -23n = 43 + 32n + -32n

Combine like terms: 32n + -32n = 0
3 + -23n = 43 + 0
3 + -23n = 43

Add '-3' to each side of the equation.
3 + -3 + -23n = 43 + -3

Combine like terms: 3 + -3 = 0
0 + -23n = 43 + -3
-23n = 43 + -3

Combine like terms: 43 + -3 = 40
-23n = 40

Divide each side by '-23'.
n = -1.739130435

Simplifying
n = -1.739130435

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