3-5(3n+7)=-4+n

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Solution for 3-5(3n+7)=-4+n equation:


Simplifying
3 + -5(3n + 7) = -4 + n

Reorder the terms:
3 + -5(7 + 3n) = -4 + n
3 + (7 * -5 + 3n * -5) = -4 + n
3 + (-35 + -15n) = -4 + n

Combine like terms: 3 + -35 = -32
-32 + -15n = -4 + n

Solving
-32 + -15n = -4 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
-32 + -15n + -1n = -4 + n + -1n

Combine like terms: -15n + -1n = -16n
-32 + -16n = -4 + n + -1n

Combine like terms: n + -1n = 0
-32 + -16n = -4 + 0
-32 + -16n = -4

Add '32' to each side of the equation.
-32 + 32 + -16n = -4 + 32

Combine like terms: -32 + 32 = 0
0 + -16n = -4 + 32
-16n = -4 + 32

Combine like terms: -4 + 32 = 28
-16n = 28

Divide each side by '-16'.
n = -1.75

Simplifying
n = -1.75

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