280=4n+7(5n+1)

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Solution for 280=4n+7(5n+1) equation:


Simplifying
280 = 4n + 7(5n + 1)

Reorder the terms:
280 = 4n + 7(1 + 5n)
280 = 4n + (1 * 7 + 5n * 7)
280 = 4n + (7 + 35n)

Reorder the terms:
280 = 7 + 4n + 35n

Combine like terms: 4n + 35n = 39n
280 = 7 + 39n

Solving
280 = 7 + 39n

Solving for variable 'n'.

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

Add '-39n' to each side of the equation.
280 + -39n = 7 + 39n + -39n

Combine like terms: 39n + -39n = 0
280 + -39n = 7 + 0
280 + -39n = 7

Add '-280' to each side of the equation.
280 + -280 + -39n = 7 + -280

Combine like terms: 280 + -280 = 0
0 + -39n = 7 + -280
-39n = 7 + -280

Combine like terms: 7 + -280 = -273
-39n = -273

Divide each side by '-39'.
n = 7

Simplifying
n = 7

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