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

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


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

Reorder the terms:
4 + 4(2 + -5n) = -3(-3n + 8) + 4
4 + (2 * 4 + -5n * 4) = -3(-3n + 8) + 4
4 + (8 + -20n) = -3(-3n + 8) + 4

Combine like terms: 4 + 8 = 12
12 + -20n = -3(-3n + 8) + 4

Reorder the terms:
12 + -20n = -3(8 + -3n) + 4
12 + -20n = (8 * -3 + -3n * -3) + 4
12 + -20n = (-24 + 9n) + 4

Reorder the terms:
12 + -20n = -24 + 4 + 9n

Combine like terms: -24 + 4 = -20
12 + -20n = -20 + 9n

Solving
12 + -20n = -20 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
12 + -20n + -9n = -20 + 9n + -9n

Combine like terms: -20n + -9n = -29n
12 + -29n = -20 + 9n + -9n

Combine like terms: 9n + -9n = 0
12 + -29n = -20 + 0
12 + -29n = -20

Add '-12' to each side of the equation.
12 + -12 + -29n = -20 + -12

Combine like terms: 12 + -12 = 0
0 + -29n = -20 + -12
-29n = -20 + -12

Combine like terms: -20 + -12 = -32
-29n = -32

Divide each side by '-29'.
n = 1.103448276

Simplifying
n = 1.103448276

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