6(2n+5)=6(5n+2)+9

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Solution for 6(2n+5)=6(5n+2)+9 equation:


Simplifying
6(2n + 5) = 6(5n + 2) + 9

Reorder the terms:
6(5 + 2n) = 6(5n + 2) + 9
(5 * 6 + 2n * 6) = 6(5n + 2) + 9
(30 + 12n) = 6(5n + 2) + 9

Reorder the terms:
30 + 12n = 6(2 + 5n) + 9
30 + 12n = (2 * 6 + 5n * 6) + 9
30 + 12n = (12 + 30n) + 9

Reorder the terms:
30 + 12n = 12 + 9 + 30n

Combine like terms: 12 + 9 = 21
30 + 12n = 21 + 30n

Solving
30 + 12n = 21 + 30n

Solving for variable 'n'.

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

Add '-30n' to each side of the equation.
30 + 12n + -30n = 21 + 30n + -30n

Combine like terms: 12n + -30n = -18n
30 + -18n = 21 + 30n + -30n

Combine like terms: 30n + -30n = 0
30 + -18n = 21 + 0
30 + -18n = 21

Add '-30' to each side of the equation.
30 + -30 + -18n = 21 + -30

Combine like terms: 30 + -30 = 0
0 + -18n = 21 + -30
-18n = 21 + -30

Combine like terms: 21 + -30 = -9
-18n = -9

Divide each side by '-18'.
n = 0.5

Simplifying
n = 0.5

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