205=-7(1+7n)-4n

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Solution for 205=-7(1+7n)-4n equation:


Simplifying
205 = -7(1 + 7n) + -4n
205 = (1 * -7 + 7n * -7) + -4n
205 = (-7 + -49n) + -4n

Combine like terms: -49n + -4n = -53n
205 = -7 + -53n

Solving
205 = -7 + -53n

Solving for variable 'n'.

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

Add '53n' to each side of the equation.
205 + 53n = -7 + -53n + 53n

Combine like terms: -53n + 53n = 0
205 + 53n = -7 + 0
205 + 53n = -7

Add '-205' to each side of the equation.
205 + -205 + 53n = -7 + -205

Combine like terms: 205 + -205 = 0
0 + 53n = -7 + -205
53n = -7 + -205

Combine like terms: -7 + -205 = -212
53n = -212

Divide each side by '53'.
n = -4

Simplifying
n = -4

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