10(-3n-5)-11=-5-(5n+6)

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Solution for 10(-3n-5)-11=-5-(5n+6) equation: 


Simplifying
10(-3n + -5) + -11 = -5 + -1(5n + 6)

Reorder the terms:
10(-5 + -3n) + -11 = -5 + -1(5n + 6)
(-5 * 10 + -3n * 10) + -11 = -5 + -1(5n + 6)
(-50 + -30n) + -11 = -5 + -1(5n + 6)

Reorder the terms:
-50 + -11 + -30n = -5 + -1(5n + 6)

Combine like terms: -50 + -11 = -61
-61 + -30n = -5 + -1(5n + 6)

Reorder the terms:
-61 + -30n = -5 + -1(6 + 5n)
-61 + -30n = -5 + (6 * -1 + 5n * -1)
-61 + -30n = -5 + (-6 + -5n)

Combine like terms: -5 + -6 = -11
-61 + -30n = -11 + -5n

Solving
-61 + -30n = -11 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
-61 + -30n + 5n = -11 + -5n + 5n

Combine like terms: -30n + 5n = -25n
-61 + -25n = -11 + -5n + 5n

Combine like terms: -5n + 5n = 0
-61 + -25n = -11 + 0
-61 + -25n = -11

Add '61' to each side of the equation.
-61 + 61 + -25n = -11 + 61

Combine like terms: -61 + 61 = 0
0 + -25n = -11 + 61
-25n = -11 + 61

Combine like terms: -11 + 61 = 50
-25n = 50

Divide each side by '-25'.
n = -2

Simplifying
n = -2

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