7(2n+5)=6(9n+8)+3

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Solution for 7(2n+5)=6(9n+8)+3 equation:


Simplifying
7(2n + 5) = 6(9n + 8) + 3

Reorder the terms:
7(5 + 2n) = 6(9n + 8) + 3
(5 * 7 + 2n * 7) = 6(9n + 8) + 3
(35 + 14n) = 6(9n + 8) + 3

Reorder the terms:
35 + 14n = 6(8 + 9n) + 3
35 + 14n = (8 * 6 + 9n * 6) + 3
35 + 14n = (48 + 54n) + 3

Reorder the terms:
35 + 14n = 48 + 3 + 54n

Combine like terms: 48 + 3 = 51
35 + 14n = 51 + 54n

Solving
35 + 14n = 51 + 54n

Solving for variable 'n'.

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

Add '-54n' to each side of the equation.
35 + 14n + -54n = 51 + 54n + -54n

Combine like terms: 14n + -54n = -40n
35 + -40n = 51 + 54n + -54n

Combine like terms: 54n + -54n = 0
35 + -40n = 51 + 0
35 + -40n = 51

Add '-35' to each side of the equation.
35 + -35 + -40n = 51 + -35

Combine like terms: 35 + -35 = 0
0 + -40n = 51 + -35
-40n = 51 + -35

Combine like terms: 51 + -35 = 16
-40n = 16

Divide each side by '-40'.
n = -0.4

Simplifying
n = -0.4

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