-37=5(4n+6)-(9n+1)

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Solution for -37=5(4n+6)-(9n+1) equation:


Simplifying
-37 = 5(4n + 6) + -1(9n + 1)

Reorder the terms:
-37 = 5(6 + 4n) + -1(9n + 1)
-37 = (6 * 5 + 4n * 5) + -1(9n + 1)
-37 = (30 + 20n) + -1(9n + 1)

Reorder the terms:
-37 = 30 + 20n + -1(1 + 9n)
-37 = 30 + 20n + (1 * -1 + 9n * -1)
-37 = 30 + 20n + (-1 + -9n)

Reorder the terms:
-37 = 30 + -1 + 20n + -9n

Combine like terms: 30 + -1 = 29
-37 = 29 + 20n + -9n

Combine like terms: 20n + -9n = 11n
-37 = 29 + 11n

Solving
-37 = 29 + 11n

Solving for variable 'n'.

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

Add '-11n' to each side of the equation.
-37 + -11n = 29 + 11n + -11n

Combine like terms: 11n + -11n = 0
-37 + -11n = 29 + 0
-37 + -11n = 29

Add '37' to each side of the equation.
-37 + 37 + -11n = 29 + 37

Combine like terms: -37 + 37 = 0
0 + -11n = 29 + 37
-11n = 29 + 37

Combine like terms: 29 + 37 = 66
-11n = 66

Divide each side by '-11'.
n = -6

Simplifying
n = -6

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