6(5+2n)-2(n-3)=26

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Solution for 6(5+2n)-2(n-3)=26 equation:


Simplifying
6(5 + 2n) + -2(n + -3) = 26
(5 * 6 + 2n * 6) + -2(n + -3) = 26
(30 + 12n) + -2(n + -3) = 26

Reorder the terms:
30 + 12n + -2(-3 + n) = 26
30 + 12n + (-3 * -2 + n * -2) = 26
30 + 12n + (6 + -2n) = 26

Reorder the terms:
30 + 6 + 12n + -2n = 26

Combine like terms: 30 + 6 = 36
36 + 12n + -2n = 26

Combine like terms: 12n + -2n = 10n
36 + 10n = 26

Solving
36 + 10n = 26

Solving for variable 'n'.

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

Add '-36' to each side of the equation.
36 + -36 + 10n = 26 + -36

Combine like terms: 36 + -36 = 0
0 + 10n = 26 + -36
10n = 26 + -36

Combine like terms: 26 + -36 = -10
10n = -10

Divide each side by '10'.
n = -1

Simplifying
n = -1

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