2(3n+8)=7n-3

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Solution for 2(3n+8)=7n-3 equation: 


Simplifying
2(3n + 8) = 7n + -3

Reorder the terms:
2(8 + 3n) = 7n + -3
(8 * 2 + 3n * 2) = 7n + -3
(16 + 6n) = 7n + -3

Reorder the terms:
16 + 6n = -3 + 7n

Solving
16 + 6n = -3 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
16 + 6n + -7n = -3 + 7n + -7n

Combine like terms: 6n + -7n = -1n
16 + -1n = -3 + 7n + -7n

Combine like terms: 7n + -7n = 0
16 + -1n = -3 + 0
16 + -1n = -3

Add '-16' to each side of the equation.
16 + -16 + -1n = -3 + -16

Combine like terms: 16 + -16 = 0
0 + -1n = -3 + -16
-1n = -3 + -16

Combine like terms: -3 + -16 = -19
-1n = -19

Divide each side by '-1'.
n = 19

Simplifying
n = 19

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