1-8(4n+3)=49-8n

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Solution for 1-8(4n+3)=49-8n equation:


Simplifying
1 + -8(4n + 3) = 49 + -8n

Reorder the terms:
1 + -8(3 + 4n) = 49 + -8n
1 + (3 * -8 + 4n * -8) = 49 + -8n
1 + (-24 + -32n) = 49 + -8n

Combine like terms: 1 + -24 = -23
-23 + -32n = 49 + -8n

Solving
-23 + -32n = 49 + -8n

Solving for variable 'n'.

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

Add '8n' to each side of the equation.
-23 + -32n + 8n = 49 + -8n + 8n

Combine like terms: -32n + 8n = -24n
-23 + -24n = 49 + -8n + 8n

Combine like terms: -8n + 8n = 0
-23 + -24n = 49 + 0
-23 + -24n = 49

Add '23' to each side of the equation.
-23 + 23 + -24n = 49 + 23

Combine like terms: -23 + 23 = 0
0 + -24n = 49 + 23
-24n = 49 + 23

Combine like terms: 49 + 23 = 72
-24n = 72

Divide each side by '-24'.
n = -3

Simplifying
n = -3

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