-5(1+3n)=37-n

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Solution for -5(1+3n)=37-n equation:


Simplifying
-5(1 + 3n) = 37 + -1n
(1 * -5 + 3n * -5) = 37 + -1n
(-5 + -15n) = 37 + -1n

Solving
-5 + -15n = 37 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
-5 + -15n + n = 37 + -1n + n

Combine like terms: -15n + n = -14n
-5 + -14n = 37 + -1n + n

Combine like terms: -1n + n = 0
-5 + -14n = 37 + 0
-5 + -14n = 37

Add '5' to each side of the equation.
-5 + 5 + -14n = 37 + 5

Combine like terms: -5 + 5 = 0
0 + -14n = 37 + 5
-14n = 37 + 5

Combine like terms: 37 + 5 = 42
-14n = 42

Divide each side by '-14'.
n = -3

Simplifying
n = -3

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