6(2n+5)=6(6n+1)+4

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Solution for 6(2n+5)=6(6n+1)+4 equation:


Simplifying
6(2n + 5) = 6(6n + 1) + 4

Reorder the terms:
6(5 + 2n) = 6(6n + 1) + 4
(5 * 6 + 2n * 6) = 6(6n + 1) + 4
(30 + 12n) = 6(6n + 1) + 4

Reorder the terms:
30 + 12n = 6(1 + 6n) + 4
30 + 12n = (1 * 6 + 6n * 6) + 4
30 + 12n = (6 + 36n) + 4

Reorder the terms:
30 + 12n = 6 + 4 + 36n

Combine like terms: 6 + 4 = 10
30 + 12n = 10 + 36n

Solving
30 + 12n = 10 + 36n

Solving for variable 'n'.

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

Add '-36n' to each side of the equation.
30 + 12n + -36n = 10 + 36n + -36n

Combine like terms: 12n + -36n = -24n
30 + -24n = 10 + 36n + -36n

Combine like terms: 36n + -36n = 0
30 + -24n = 10 + 0
30 + -24n = 10

Add '-30' to each side of the equation.
30 + -30 + -24n = 10 + -30

Combine like terms: 30 + -30 = 0
0 + -24n = 10 + -30
-24n = 10 + -30

Combine like terms: 10 + -30 = -20
-24n = -20

Divide each side by '-24'.
n = 0.8333333333

Simplifying
n = 0.8333333333

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