4(3n+3)=7(5n+7)+7

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


Simplifying
4(3n + 3) = 7(5n + 7) + 7

Reorder the terms:
4(3 + 3n) = 7(5n + 7) + 7
(3 * 4 + 3n * 4) = 7(5n + 7) + 7
(12 + 12n) = 7(5n + 7) + 7

Reorder the terms:
12 + 12n = 7(7 + 5n) + 7
12 + 12n = (7 * 7 + 5n * 7) + 7
12 + 12n = (49 + 35n) + 7

Reorder the terms:
12 + 12n = 49 + 7 + 35n

Combine like terms: 49 + 7 = 56
12 + 12n = 56 + 35n

Solving
12 + 12n = 56 + 35n

Solving for variable 'n'.

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

Add '-35n' to each side of the equation.
12 + 12n + -35n = 56 + 35n + -35n

Combine like terms: 12n + -35n = -23n
12 + -23n = 56 + 35n + -35n

Combine like terms: 35n + -35n = 0
12 + -23n = 56 + 0
12 + -23n = 56

Add '-12' to each side of the equation.
12 + -12 + -23n = 56 + -12

Combine like terms: 12 + -12 = 0
0 + -23n = 56 + -12
-23n = 56 + -12

Combine like terms: 56 + -12 = 44
-23n = 44

Divide each side by '-23'.
n = -1.913043478

Simplifying
n = -1.913043478

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