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

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


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

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

Reorder the terms:
4 + 8n = 7(2 + 3n) + 7
4 + 8n = (2 * 7 + 3n * 7) + 7
4 + 8n = (14 + 21n) + 7

Reorder the terms:
4 + 8n = 14 + 7 + 21n

Combine like terms: 14 + 7 = 21
4 + 8n = 21 + 21n

Solving
4 + 8n = 21 + 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 = 21 + 21n + -21n

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

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

Add '-4' to each side of the equation.
4 + -4 + -13n = 21 + -4

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

Combine like terms: 21 + -4 = 17
-13n = 17

Divide each side by '-13'.
n = -1.307692308

Simplifying
n = -1.307692308

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