-10-3n=-2(7n-2)-3

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Solution for -10-3n=-2(7n-2)-3 equation:


Simplifying
-10 + -3n = -2(7n + -2) + -3

Reorder the terms:
-10 + -3n = -2(-2 + 7n) + -3
-10 + -3n = (-2 * -2 + 7n * -2) + -3
-10 + -3n = (4 + -14n) + -3

Reorder the terms:
-10 + -3n = 4 + -3 + -14n

Combine like terms: 4 + -3 = 1
-10 + -3n = 1 + -14n

Solving
-10 + -3n = 1 + -14n

Solving for variable 'n'.

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

Add '14n' to each side of the equation.
-10 + -3n + 14n = 1 + -14n + 14n

Combine like terms: -3n + 14n = 11n
-10 + 11n = 1 + -14n + 14n

Combine like terms: -14n + 14n = 0
-10 + 11n = 1 + 0
-10 + 11n = 1

Add '10' to each side of the equation.
-10 + 10 + 11n = 1 + 10

Combine like terms: -10 + 10 = 0
0 + 11n = 1 + 10
11n = 1 + 10

Combine like terms: 1 + 10 = 11
11n = 11

Divide each side by '11'.
n = 1

Simplifying
n = 1

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