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

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


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

Reorder the terms:
9(5 + 2n) = 8(6n + 9) + 6
(5 * 9 + 2n * 9) = 8(6n + 9) + 6
(45 + 18n) = 8(6n + 9) + 6

Reorder the terms:
45 + 18n = 8(9 + 6n) + 6
45 + 18n = (9 * 8 + 6n * 8) + 6
45 + 18n = (72 + 48n) + 6

Reorder the terms:
45 + 18n = 72 + 6 + 48n

Combine like terms: 72 + 6 = 78
45 + 18n = 78 + 48n

Solving
45 + 18n = 78 + 48n

Solving for variable 'n'.

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

Add '-48n' to each side of the equation.
45 + 18n + -48n = 78 + 48n + -48n

Combine like terms: 18n + -48n = -30n
45 + -30n = 78 + 48n + -48n

Combine like terms: 48n + -48n = 0
45 + -30n = 78 + 0
45 + -30n = 78

Add '-45' to each side of the equation.
45 + -45 + -30n = 78 + -45

Combine like terms: 45 + -45 = 0
0 + -30n = 78 + -45
-30n = 78 + -45

Combine like terms: 78 + -45 = 33
-30n = 33

Divide each side by '-30'.
n = -1.1

Simplifying
n = -1.1

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