5-2(n+11)=-(10n+9)

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Solution for 5-2(n+11)=-(10n+9) equation:


Simplifying
5 + -2(n + 11) = -1(10n + 9)

Reorder the terms:
5 + -2(11 + n) = -1(10n + 9)
5 + (11 * -2 + n * -2) = -1(10n + 9)
5 + (-22 + -2n) = -1(10n + 9)

Combine like terms: 5 + -22 = -17
-17 + -2n = -1(10n + 9)

Reorder the terms:
-17 + -2n = -1(9 + 10n)
-17 + -2n = (9 * -1 + 10n * -1)
-17 + -2n = (-9 + -10n)

Solving
-17 + -2n = -9 + -10n

Solving for variable 'n'.

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

Add '10n' to each side of the equation.
-17 + -2n + 10n = -9 + -10n + 10n

Combine like terms: -2n + 10n = 8n
-17 + 8n = -9 + -10n + 10n

Combine like terms: -10n + 10n = 0
-17 + 8n = -9 + 0
-17 + 8n = -9

Add '17' to each side of the equation.
-17 + 17 + 8n = -9 + 17

Combine like terms: -17 + 17 = 0
0 + 8n = -9 + 17
8n = -9 + 17

Combine like terms: -9 + 17 = 8
8n = 8

Divide each side by '8'.
n = 1

Simplifying
n = 1

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