3*n+1=5*n-15

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Solution for 3*n+1=5*n-15 equation:


Simplifying
3n + 1 = 5n + -15

Reorder the terms:
1 + 3n = 5n + -15

Reorder the terms:
1 + 3n = -15 + 5n

Solving
1 + 3n = -15 + 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.
1 + 3n + -5n = -15 + 5n + -5n

Combine like terms: 3n + -5n = -2n
1 + -2n = -15 + 5n + -5n

Combine like terms: 5n + -5n = 0
1 + -2n = -15 + 0
1 + -2n = -15

Add '-1' to each side of the equation.
1 + -1 + -2n = -15 + -1

Combine like terms: 1 + -1 = 0
0 + -2n = -15 + -1
-2n = -15 + -1

Combine like terms: -15 + -1 = -16
-2n = -16

Divide each side by '-2'.
n = 8

Simplifying
n = 8

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