4(2n+1)=7(3n+8)+2

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Solution for 4(2n+1)=7(3n+8)+2 equation: 


Simplifying
4(2n + 1) = 7(3n + 8) + 2

Reorder the terms:
4(1 + 2n) = 7(3n + 8) + 2
(1 * 4 + 2n * 4) = 7(3n + 8) + 2
(4 + 8n) = 7(3n + 8) + 2

Reorder the terms:
4 + 8n = 7(8 + 3n) + 2
4 + 8n = (8 * 7 + 3n * 7) + 2
4 + 8n = (56 + 21n) + 2

Reorder the terms:
4 + 8n = 56 + 2 + 21n

Combine like terms: 56 + 2 = 58
4 + 8n = 58 + 21n

Solving
4 + 8n = 58 + 21n

Solving for variable 'n'.

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

Add '-21n' to each side of the equation.
4 + 8n + -21n = 58 + 21n + -21n

Combine like terms: 8n + -21n = -13n
4 + -13n = 58 + 21n + -21n

Combine like terms: 21n + -21n = 0
4 + -13n = 58 + 0
4 + -13n = 58

Add '-4' to each side of the equation.
4 + -4 + -13n = 58 + -4

Combine like terms: 4 + -4 = 0
0 + -13n = 58 + -4
-13n = 58 + -4

Combine like terms: 58 + -4 = 54
-13n = 54

Divide each side by '-13'.
n = -4.153846154

Simplifying
n = -4.153846154

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