-3(1+n)+7n=5(2+n)

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Solution for -3(1+n)+7n=5(2+n) equation:


Simplifying
-3(1 + n) + 7n = 5(2 + n)
(1 * -3 + n * -3) + 7n = 5(2 + n)
(-3 + -3n) + 7n = 5(2 + n)

Combine like terms: -3n + 7n = 4n
-3 + 4n = 5(2 + n)
-3 + 4n = (2 * 5 + n * 5)
-3 + 4n = (10 + 5n)

Solving
-3 + 4n = 10 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-3 + 4n + -5n = 10 + 5n + -5n

Combine like terms: 4n + -5n = -1n
-3 + -1n = 10 + 5n + -5n

Combine like terms: 5n + -5n = 0
-3 + -1n = 10 + 0
-3 + -1n = 10

Add '3' to each side of the equation.
-3 + 3 + -1n = 10 + 3

Combine like terms: -3 + 3 = 0
0 + -1n = 10 + 3
-1n = 10 + 3

Combine like terms: 10 + 3 = 13
-1n = 13

Divide each side by '-1'.
n = -13

Simplifying
n = -13

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