-8(1-11n)=10+5(5n+9)

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Solution for -8(1-11n)=10+5(5n+9) equation:


Simplifying
-8(1 + -11n) = 10 + 5(5n + 9)
(1 * -8 + -11n * -8) = 10 + 5(5n + 9)
(-8 + 88n) = 10 + 5(5n + 9)

Reorder the terms:
-8 + 88n = 10 + 5(9 + 5n)
-8 + 88n = 10 + (9 * 5 + 5n * 5)
-8 + 88n = 10 + (45 + 25n)

Combine like terms: 10 + 45 = 55
-8 + 88n = 55 + 25n

Solving
-8 + 88n = 55 + 25n

Solving for variable 'n'.

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

Add '-25n' to each side of the equation.
-8 + 88n + -25n = 55 + 25n + -25n

Combine like terms: 88n + -25n = 63n
-8 + 63n = 55 + 25n + -25n

Combine like terms: 25n + -25n = 0
-8 + 63n = 55 + 0
-8 + 63n = 55

Add '8' to each side of the equation.
-8 + 8 + 63n = 55 + 8

Combine like terms: -8 + 8 = 0
0 + 63n = 55 + 8
63n = 55 + 8

Combine like terms: 55 + 8 = 63
63n = 63

Divide each side by '63'.
n = 1

Simplifying
n = 1

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