4(3n+3)=7(6n+7)+1

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Solution for 4(3n+3)=7(6n+7)+1 equation: 


Simplifying
4(3n + 3) = 7(6n + 7) + 1

Reorder the terms:
4(3 + 3n) = 7(6n + 7) + 1
(3 * 4 + 3n * 4) = 7(6n + 7) + 1
(12 + 12n) = 7(6n + 7) + 1

Reorder the terms:
12 + 12n = 7(7 + 6n) + 1
12 + 12n = (7 * 7 + 6n * 7) + 1
12 + 12n = (49 + 42n) + 1

Reorder the terms:
12 + 12n = 49 + 1 + 42n

Combine like terms: 49 + 1 = 50
12 + 12n = 50 + 42n

Solving
12 + 12n = 50 + 42n

Solving for variable 'n'.

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

Add '-42n' to each side of the equation.
12 + 12n + -42n = 50 + 42n + -42n

Combine like terms: 12n + -42n = -30n
12 + -30n = 50 + 42n + -42n

Combine like terms: 42n + -42n = 0
12 + -30n = 50 + 0
12 + -30n = 50

Add '-12' to each side of the equation.
12 + -12 + -30n = 50 + -12

Combine like terms: 12 + -12 = 0
0 + -30n = 50 + -12
-30n = 50 + -12

Combine like terms: 50 + -12 = 38
-30n = 38

Divide each side by '-30'.
n = -1.266666667

Simplifying
n = -1.266666667

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