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

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Solution for 2(1-2n)-(5n+9)=1+5n-10n equation:


Simplifying
2(1 + -2n) + -1(5n + 9) = 1 + 5n + -10n
(1 * 2 + -2n * 2) + -1(5n + 9) = 1 + 5n + -10n
(2 + -4n) + -1(5n + 9) = 1 + 5n + -10n

Reorder the terms:
2 + -4n + -1(9 + 5n) = 1 + 5n + -10n
2 + -4n + (9 * -1 + 5n * -1) = 1 + 5n + -10n
2 + -4n + (-9 + -5n) = 1 + 5n + -10n

Reorder the terms:
2 + -9 + -4n + -5n = 1 + 5n + -10n

Combine like terms: 2 + -9 = -7
-7 + -4n + -5n = 1 + 5n + -10n

Combine like terms: -4n + -5n = -9n
-7 + -9n = 1 + 5n + -10n

Combine like terms: 5n + -10n = -5n
-7 + -9n = 1 + -5n

Solving
-7 + -9n = 1 + -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.
-7 + -9n + 5n = 1 + -5n + 5n

Combine like terms: -9n + 5n = -4n
-7 + -4n = 1 + -5n + 5n

Combine like terms: -5n + 5n = 0
-7 + -4n = 1 + 0
-7 + -4n = 1

Add '7' to each side of the equation.
-7 + 7 + -4n = 1 + 7

Combine like terms: -7 + 7 = 0
0 + -4n = 1 + 7
-4n = 1 + 7

Combine like terms: 1 + 7 = 8
-4n = 8

Divide each side by '-4'.
n = -2

Simplifying
n = -2

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