11=7(n-9)+4(n-9)

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Solution for 11=7(n-9)+4(n-9) equation:


Simplifying
11 = 7(n + -9) + 4(n + -9)

Reorder the terms:
11 = 7(-9 + n) + 4(n + -9)
11 = (-9 * 7 + n * 7) + 4(n + -9)
11 = (-63 + 7n) + 4(n + -9)

Reorder the terms:
11 = -63 + 7n + 4(-9 + n)
11 = -63 + 7n + (-9 * 4 + n * 4)
11 = -63 + 7n + (-36 + 4n)

Reorder the terms:
11 = -63 + -36 + 7n + 4n

Combine like terms: -63 + -36 = -99
11 = -99 + 7n + 4n

Combine like terms: 7n + 4n = 11n
11 = -99 + 11n

Solving
11 = -99 + 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.
11 + -11n = -99 + 11n + -11n

Combine like terms: 11n + -11n = 0
11 + -11n = -99 + 0
11 + -11n = -99

Add '-11' to each side of the equation.
11 + -11 + -11n = -99 + -11

Combine like terms: 11 + -11 = 0
0 + -11n = -99 + -11
-11n = -99 + -11

Combine like terms: -99 + -11 = -110
-11n = -110

Divide each side by '-11'.
n = 10

Simplifying
n = 10

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