7-(2n-9)=1-3n

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Solution for 7-(2n-9)=1-3n equation: 


Simplifying
7 + -1(2n + -9) = 1 + -3n

Reorder the terms:
7 + -1(-9 + 2n) = 1 + -3n
7 + (-9 * -1 + 2n * -1) = 1 + -3n
7 + (9 + -2n) = 1 + -3n

Combine like terms: 7 + 9 = 16
16 + -2n = 1 + -3n

Solving
16 + -2n = 1 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
16 + -2n + 3n = 1 + -3n + 3n

Combine like terms: -2n + 3n = 1n
16 + 1n = 1 + -3n + 3n

Combine like terms: -3n + 3n = 0
16 + 1n = 1 + 0
16 + 1n = 1

Add '-16' to each side of the equation.
16 + -16 + 1n = 1 + -16

Combine like terms: 16 + -16 = 0
0 + 1n = 1 + -16
1n = 1 + -16

Combine like terms: 1 + -16 = -15
1n = -15

Divide each side by '1'.
n = -15

Simplifying
n = -15

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