44=3(-4n-7)-7(7n-4)

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Solution for 44=3(-4n-7)-7(7n-4) equation: 


Simplifying
44 = 3(-4n + -7) + -7(7n + -4)

Reorder the terms:
44 = 3(-7 + -4n) + -7(7n + -4)
44 = (-7 * 3 + -4n * 3) + -7(7n + -4)
44 = (-21 + -12n) + -7(7n + -4)

Reorder the terms:
44 = -21 + -12n + -7(-4 + 7n)
44 = -21 + -12n + (-4 * -7 + 7n * -7)
44 = -21 + -12n + (28 + -49n)

Reorder the terms:
44 = -21 + 28 + -12n + -49n

Combine like terms: -21 + 28 = 7
44 = 7 + -12n + -49n

Combine like terms: -12n + -49n = -61n
44 = 7 + -61n

Solving
44 = 7 + -61n

Solving for variable 'n'.

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

Add '61n' to each side of the equation.
44 + 61n = 7 + -61n + 61n

Combine like terms: -61n + 61n = 0
44 + 61n = 7 + 0
44 + 61n = 7

Add '-44' to each side of the equation.
44 + -44 + 61n = 7 + -44

Combine like terms: 44 + -44 = 0
0 + 61n = 7 + -44
61n = 7 + -44

Combine like terms: 7 + -44 = -37
61n = -37

Divide each side by '61'.
n = -0.606557377

Simplifying
n = -0.606557377

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