6(n-7)-(2-5n)=10n

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Solution for 6(n-7)-(2-5n)=10n equation:


Simplifying
6(n + -7) + -1(2 + -5n) = 10n

Reorder the terms:
6(-7 + n) + -1(2 + -5n) = 10n
(-7 * 6 + n * 6) + -1(2 + -5n) = 10n
(-42 + 6n) + -1(2 + -5n) = 10n
-42 + 6n + (2 * -1 + -5n * -1) = 10n
-42 + 6n + (-2 + 5n) = 10n

Reorder the terms:
-42 + -2 + 6n + 5n = 10n

Combine like terms: -42 + -2 = -44
-44 + 6n + 5n = 10n

Combine like terms: 6n + 5n = 11n
-44 + 11n = 10n

Solving
-44 + 11n = 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.
-44 + 11n + -10n = 10n + -10n

Combine like terms: 11n + -10n = 1n
-44 + 1n = 10n + -10n

Combine like terms: 10n + -10n = 0
-44 + 1n = 0

Add '44' to each side of the equation.
-44 + 44 + 1n = 0 + 44

Combine like terms: -44 + 44 = 0
0 + 1n = 0 + 44
1n = 0 + 44

Combine like terms: 0 + 44 = 44
1n = 44

Divide each side by '1'.
n = 44

Simplifying
n = 44

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