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

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


Simplifying
2(-3n + 5) + -5n = -3 + -2(2n + 4)

Reorder the terms:
2(5 + -3n) + -5n = -3 + -2(2n + 4)
(5 * 2 + -3n * 2) + -5n = -3 + -2(2n + 4)
(10 + -6n) + -5n = -3 + -2(2n + 4)

Combine like terms: -6n + -5n = -11n
10 + -11n = -3 + -2(2n + 4)

Reorder the terms:
10 + -11n = -3 + -2(4 + 2n)
10 + -11n = -3 + (4 * -2 + 2n * -2)
10 + -11n = -3 + (-8 + -4n)

Combine like terms: -3 + -8 = -11
10 + -11n = -11 + -4n

Solving
10 + -11n = -11 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
10 + -11n + 4n = -11 + -4n + 4n

Combine like terms: -11n + 4n = -7n
10 + -7n = -11 + -4n + 4n

Combine like terms: -4n + 4n = 0
10 + -7n = -11 + 0
10 + -7n = -11

Add '-10' to each side of the equation.
10 + -10 + -7n = -11 + -10

Combine like terms: 10 + -10 = 0
0 + -7n = -11 + -10
-7n = -11 + -10

Combine like terms: -11 + -10 = -21
-7n = -21

Divide each side by '-7'.
n = 3

Simplifying
n = 3

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