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

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


Simplifying
9 + 8n = 7 + 2(6 + 3n)
9 + 8n = 7 + (6 * 2 + 3n * 2)
9 + 8n = 7 + (12 + 6n)

Combine like terms: 7 + 12 = 19
9 + 8n = 19 + 6n

Solving
9 + 8n = 19 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
9 + 8n + -6n = 19 + 6n + -6n

Combine like terms: 8n + -6n = 2n
9 + 2n = 19 + 6n + -6n

Combine like terms: 6n + -6n = 0
9 + 2n = 19 + 0
9 + 2n = 19

Add '-9' to each side of the equation.
9 + -9 + 2n = 19 + -9

Combine like terms: 9 + -9 = 0
0 + 2n = 19 + -9
2n = 19 + -9

Combine like terms: 19 + -9 = 10
2n = 10

Divide each side by '2'.
n = 5

Simplifying
n = 5

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