40+3n=-n-4(-7n-4)

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Solution for 40+3n=-n-4(-7n-4) equation: 


Simplifying
40 + 3n = -1n + -4(-7n + -4)

Reorder the terms:
40 + 3n = -1n + -4(-4 + -7n)
40 + 3n = -1n + (-4 * -4 + -7n * -4)
40 + 3n = -1n + (16 + 28n)

Reorder the terms:
40 + 3n = 16 + -1n + 28n

Combine like terms: -1n + 28n = 27n
40 + 3n = 16 + 27n

Solving
40 + 3n = 16 + 27n

Solving for variable 'n'.

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

Add '-27n' to each side of the equation.
40 + 3n + -27n = 16 + 27n + -27n

Combine like terms: 3n + -27n = -24n
40 + -24n = 16 + 27n + -27n

Combine like terms: 27n + -27n = 0
40 + -24n = 16 + 0
40 + -24n = 16

Add '-40' to each side of the equation.
40 + -40 + -24n = 16 + -40

Combine like terms: 40 + -40 = 0
0 + -24n = 16 + -40
-24n = 16 + -40

Combine like terms: 16 + -40 = -24
-24n = -24

Divide each side by '-24'.
n = 1

Simplifying
n = 1

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