16+3(7n+2)=8(2n-9)-6

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Solution for 16+3(7n+2)=8(2n-9)-6 equation: 


Simplifying
16 + 3(7n + 2) = 8(2n + -9) + -6

Reorder the terms:
16 + 3(2 + 7n) = 8(2n + -9) + -6
16 + (2 * 3 + 7n * 3) = 8(2n + -9) + -6
16 + (6 + 21n) = 8(2n + -9) + -6

Combine like terms: 16 + 6 = 22
22 + 21n = 8(2n + -9) + -6

Reorder the terms:
22 + 21n = 8(-9 + 2n) + -6
22 + 21n = (-9 * 8 + 2n * 8) + -6
22 + 21n = (-72 + 16n) + -6

Reorder the terms:
22 + 21n = -72 + -6 + 16n

Combine like terms: -72 + -6 = -78
22 + 21n = -78 + 16n

Solving
22 + 21n = -78 + 16n

Solving for variable 'n'.

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

Add '-16n' to each side of the equation.
22 + 21n + -16n = -78 + 16n + -16n

Combine like terms: 21n + -16n = 5n
22 + 5n = -78 + 16n + -16n

Combine like terms: 16n + -16n = 0
22 + 5n = -78 + 0
22 + 5n = -78

Add '-22' to each side of the equation.
22 + -22 + 5n = -78 + -22

Combine like terms: 22 + -22 = 0
0 + 5n = -78 + -22
5n = -78 + -22

Combine like terms: -78 + -22 = -100
5n = -100

Divide each side by '5'.
n = -20

Simplifying
n = -20

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