1-2(1-7n)=17+5n

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Solution for 1-2(1-7n)=17+5n equation:


Simplifying
1 + -2(1 + -7n) = 17 + 5n
1 + (1 * -2 + -7n * -2) = 17 + 5n
1 + (-2 + 14n) = 17 + 5n

Combine like terms: 1 + -2 = -1
-1 + 14n = 17 + 5n

Solving
-1 + 14n = 17 + 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.
-1 + 14n + -5n = 17 + 5n + -5n

Combine like terms: 14n + -5n = 9n
-1 + 9n = 17 + 5n + -5n

Combine like terms: 5n + -5n = 0
-1 + 9n = 17 + 0
-1 + 9n = 17

Add '1' to each side of the equation.
-1 + 1 + 9n = 17 + 1

Combine like terms: -1 + 1 = 0
0 + 9n = 17 + 1
9n = 17 + 1

Combine like terms: 17 + 1 = 18
9n = 18

Divide each side by '9'.
n = 2

Simplifying
n = 2

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