40-n=4n+7

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Solution for 40-n=4n+7 equation:


Simplifying
40 + -1n = 4n + 7

Reorder the terms:
40 + -1n = 7 + 4n

Solving
40 + -1n = 7 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
40 + -1n + -4n = 7 + 4n + -4n

Combine like terms: -1n + -4n = -5n
40 + -5n = 7 + 4n + -4n

Combine like terms: 4n + -4n = 0
40 + -5n = 7 + 0
40 + -5n = 7

Add '-40' to each side of the equation.
40 + -40 + -5n = 7 + -40

Combine like terms: 40 + -40 = 0
0 + -5n = 7 + -40
-5n = 7 + -40

Combine like terms: 7 + -40 = -33
-5n = -33

Divide each side by '-5'.
n = 6.6

Simplifying
n = 6.6

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