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

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


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

Combine like terms: 4 + 32 = 36
36 + 12n = 5(3 + 3n)
36 + 12n = (3 * 5 + 3n * 5)
36 + 12n = (15 + 15n)

Solving
36 + 12n = 15 + 15n

Solving for variable 'n'.

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

Add '-15n' to each side of the equation.
36 + 12n + -15n = 15 + 15n + -15n

Combine like terms: 12n + -15n = -3n
36 + -3n = 15 + 15n + -15n

Combine like terms: 15n + -15n = 0
36 + -3n = 15 + 0
36 + -3n = 15

Add '-36' to each side of the equation.
36 + -36 + -3n = 15 + -36

Combine like terms: 36 + -36 = 0
0 + -3n = 15 + -36
-3n = 15 + -36

Combine like terms: 15 + -36 = -21
-3n = -21

Divide each side by '-3'.
n = 7

Simplifying
n = 7

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