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

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


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

Reorder the terms:
2(5 + 2n) = 6(4n + 5) + 3
(5 * 2 + 2n * 2) = 6(4n + 5) + 3
(10 + 4n) = 6(4n + 5) + 3

Reorder the terms:
10 + 4n = 6(5 + 4n) + 3
10 + 4n = (5 * 6 + 4n * 6) + 3
10 + 4n = (30 + 24n) + 3

Reorder the terms:
10 + 4n = 30 + 3 + 24n

Combine like terms: 30 + 3 = 33
10 + 4n = 33 + 24n

Solving
10 + 4n = 33 + 24n

Solving for variable 'n'.

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

Add '-24n' to each side of the equation.
10 + 4n + -24n = 33 + 24n + -24n

Combine like terms: 4n + -24n = -20n
10 + -20n = 33 + 24n + -24n

Combine like terms: 24n + -24n = 0
10 + -20n = 33 + 0
10 + -20n = 33

Add '-10' to each side of the equation.
10 + -10 + -20n = 33 + -10

Combine like terms: 10 + -10 = 0
0 + -20n = 33 + -10
-20n = 33 + -10

Combine like terms: 33 + -10 = 23
-20n = 23

Divide each side by '-20'.
n = -1.15

Simplifying
n = -1.15

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