3(2N+5)=6(5N+5)+4

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Solution for 3(2N+5)=6(5N+5)+4 equation: 


Simplifying
3(2N + 5) = 6(5N + 5) + 4

Reorder the terms:
3(5 + 2N) = 6(5N + 5) + 4
(5 * 3 + 2N * 3) = 6(5N + 5) + 4
(15 + 6N) = 6(5N + 5) + 4

Reorder the terms:
15 + 6N = 6(5 + 5N) + 4
15 + 6N = (5 * 6 + 5N * 6) + 4
15 + 6N = (30 + 30N) + 4

Reorder the terms:
15 + 6N = 30 + 4 + 30N

Combine like terms: 30 + 4 = 34
15 + 6N = 34 + 30N

Solving
15 + 6N = 34 + 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.
15 + 6N + -30N = 34 + 30N + -30N

Combine like terms: 6N + -30N = -24N
15 + -24N = 34 + 30N + -30N

Combine like terms: 30N + -30N = 0
15 + -24N = 34 + 0
15 + -24N = 34

Add '-15' to each side of the equation.
15 + -15 + -24N = 34 + -15

Combine like terms: 15 + -15 = 0
0 + -24N = 34 + -15
-24N = 34 + -15

Combine like terms: 34 + -15 = 19
-24N = 19

Divide each side by '-24'.
N = -0.7916666667

Simplifying
N = -0.7916666667

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