3(n-1)-2=4(n-4)-(n-11)

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Solution for 3(n-1)-2=4(n-4)-(n-11) equation:


Simplifying
3(n + -1) + -2 = 4(n + -4) + -1(n + -11)

Reorder the terms:
3(-1 + n) + -2 = 4(n + -4) + -1(n + -11)
(-1 * 3 + n * 3) + -2 = 4(n + -4) + -1(n + -11)
(-3 + 3n) + -2 = 4(n + -4) + -1(n + -11)

Reorder the terms:
-3 + -2 + 3n = 4(n + -4) + -1(n + -11)

Combine like terms: -3 + -2 = -5
-5 + 3n = 4(n + -4) + -1(n + -11)

Reorder the terms:
-5 + 3n = 4(-4 + n) + -1(n + -11)
-5 + 3n = (-4 * 4 + n * 4) + -1(n + -11)
-5 + 3n = (-16 + 4n) + -1(n + -11)

Reorder the terms:
-5 + 3n = -16 + 4n + -1(-11 + n)
-5 + 3n = -16 + 4n + (-11 * -1 + n * -1)
-5 + 3n = -16 + 4n + (11 + -1n)

Reorder the terms:
-5 + 3n = -16 + 11 + 4n + -1n

Combine like terms: -16 + 11 = -5
-5 + 3n = -5 + 4n + -1n

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

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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