27-5n=-3-4(3+3n)

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Solution for 27-5n=-3-4(3+3n) equation: 


Simplifying
27 + -5n = -3 + -4(3 + 3n)
27 + -5n = -3 + (3 * -4 + 3n * -4)
27 + -5n = -3 + (-12 + -12n)

Combine like terms: -3 + -12 = -15
27 + -5n = -15 + -12n

Solving
27 + -5n = -15 + -12n

Solving for variable 'n'.

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

Add '12n' to each side of the equation.
27 + -5n + 12n = -15 + -12n + 12n

Combine like terms: -5n + 12n = 7n
27 + 7n = -15 + -12n + 12n

Combine like terms: -12n + 12n = 0
27 + 7n = -15 + 0
27 + 7n = -15

Add '-27' to each side of the equation.
27 + -27 + 7n = -15 + -27

Combine like terms: 27 + -27 = 0
0 + 7n = -15 + -27
7n = -15 + -27

Combine like terms: -15 + -27 = -42
7n = -42

Divide each side by '7'.
n = -6

Simplifying
n = -6

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