6+3n-15=5n-2(4-n)

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Solution for 6+3n-15=5n-2(4-n) equation: 


Simplifying
6 + 3n + -15 = 5n + -2(4 + -1n)

Reorder the terms:
6 + -15 + 3n = 5n + -2(4 + -1n)

Combine like terms: 6 + -15 = -9
-9 + 3n = 5n + -2(4 + -1n)
-9 + 3n = 5n + (4 * -2 + -1n * -2)
-9 + 3n = 5n + (-8 + 2n)

Reorder the terms:
-9 + 3n = -8 + 5n + 2n

Combine like terms: 5n + 2n = 7n
-9 + 3n = -8 + 7n

Solving
-9 + 3n = -8 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
-9 + 3n + -7n = -8 + 7n + -7n

Combine like terms: 3n + -7n = -4n
-9 + -4n = -8 + 7n + -7n

Combine like terms: 7n + -7n = 0
-9 + -4n = -8 + 0
-9 + -4n = -8

Add '9' to each side of the equation.
-9 + 9 + -4n = -8 + 9

Combine like terms: -9 + 9 = 0
0 + -4n = -8 + 9
-4n = -8 + 9

Combine like terms: -8 + 9 = 1
-4n = 1

Divide each side by '-4'.
n = -0.25

Simplifying
n = -0.25

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