1+n=4-n+3n-10

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Solution for 1+n=4-n+3n-10 equation:


Simplifying
1 + n = 4 + -1n + 3n + -10

Reorder the terms:
1 + n = 4 + -10 + -1n + 3n

Combine like terms: 4 + -10 = -6
1 + n = -6 + -1n + 3n

Combine like terms: -1n + 3n = 2n
1 + n = -6 + 2n

Solving
1 + n = -6 + 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.
1 + n + -2n = -6 + 2n + -2n

Combine like terms: n + -2n = -1n
1 + -1n = -6 + 2n + -2n

Combine like terms: 2n + -2n = 0
1 + -1n = -6 + 0
1 + -1n = -6

Add '-1' to each side of the equation.
1 + -1 + -1n = -6 + -1

Combine like terms: 1 + -1 = 0
0 + -1n = -6 + -1
-1n = -6 + -1

Combine like terms: -6 + -1 = -7
-1n = -7

Divide each side by '-1'.
n = 7

Simplifying
n = 7

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