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

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


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

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

Reorder the terms:
21 + 14n = 8(8 + 4n) + 3
21 + 14n = (8 * 8 + 4n * 8) + 3
21 + 14n = (64 + 32n) + 3

Reorder the terms:
21 + 14n = 64 + 3 + 32n

Combine like terms: 64 + 3 = 67
21 + 14n = 67 + 32n

Solving
21 + 14n = 67 + 32n

Solving for variable 'n'.

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

Add '-32n' to each side of the equation.
21 + 14n + -32n = 67 + 32n + -32n

Combine like terms: 14n + -32n = -18n
21 + -18n = 67 + 32n + -32n

Combine like terms: 32n + -32n = 0
21 + -18n = 67 + 0
21 + -18n = 67

Add '-21' to each side of the equation.
21 + -21 + -18n = 67 + -21

Combine like terms: 21 + -21 = 0
0 + -18n = 67 + -21
-18n = 67 + -21

Combine like terms: 67 + -21 = 46
-18n = 46

Divide each side by '-18'.
n = -2.555555556

Simplifying
n = -2.555555556

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