7(5n-3)-4n=-2n-21

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Solution for 7(5n-3)-4n=-2n-21 equation: 


Simplifying
7(5n + -3) + -4n = -2n + -21

Reorder the terms:
7(-3 + 5n) + -4n = -2n + -21
(-3 * 7 + 5n * 7) + -4n = -2n + -21
(-21 + 35n) + -4n = -2n + -21

Combine like terms: 35n + -4n = 31n
-21 + 31n = -2n + -21

Reorder the terms:
-21 + 31n = -21 + -2n

Add '21' to each side of the equation.
-21 + 21 + 31n = -21 + 21 + -2n

Combine like terms: -21 + 21 = 0
0 + 31n = -21 + 21 + -2n
31n = -21 + 21 + -2n

Combine like terms: -21 + 21 = 0
31n = 0 + -2n
31n = -2n

Solving
31n = -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
31n + 2n = -2n + 2n

Combine like terms: 31n + 2n = 33n
33n = -2n + 2n

Combine like terms: -2n + 2n = 0
33n = 0

Divide each side by '33'.
n = 0

Simplifying
n = 0

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