4(3n+2)=6(5n+9)+7

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Solution for 4(3n+2)=6(5n+9)+7 equation: 


Simplifying
4(3n + 2) = 6(5n + 9) + 7

Reorder the terms:
4(2 + 3n) = 6(5n + 9) + 7
(2 * 4 + 3n * 4) = 6(5n + 9) + 7
(8 + 12n) = 6(5n + 9) + 7

Reorder the terms:
8 + 12n = 6(9 + 5n) + 7
8 + 12n = (9 * 6 + 5n * 6) + 7
8 + 12n = (54 + 30n) + 7

Reorder the terms:
8 + 12n = 54 + 7 + 30n

Combine like terms: 54 + 7 = 61
8 + 12n = 61 + 30n

Solving
8 + 12n = 61 + 30n

Solving for variable 'n'.

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

Add '-30n' to each side of the equation.
8 + 12n + -30n = 61 + 30n + -30n

Combine like terms: 12n + -30n = -18n
8 + -18n = 61 + 30n + -30n

Combine like terms: 30n + -30n = 0
8 + -18n = 61 + 0
8 + -18n = 61

Add '-8' to each side of the equation.
8 + -8 + -18n = 61 + -8

Combine like terms: 8 + -8 = 0
0 + -18n = 61 + -8
-18n = 61 + -8

Combine like terms: 61 + -8 = 53
-18n = 53

Divide each side by '-18'.
n = -2.944444444

Simplifying
n = -2.944444444

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