4(2n+3)=8(7n+1)+5

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Solution for 4(2n+3)=8(7n+1)+5 equation:


Simplifying
4(2n + 3) = 8(7n + 1) + 5

Reorder the terms:
4(3 + 2n) = 8(7n + 1) + 5
(3 * 4 + 2n * 4) = 8(7n + 1) + 5
(12 + 8n) = 8(7n + 1) + 5

Reorder the terms:
12 + 8n = 8(1 + 7n) + 5
12 + 8n = (1 * 8 + 7n * 8) + 5
12 + 8n = (8 + 56n) + 5

Reorder the terms:
12 + 8n = 8 + 5 + 56n

Combine like terms: 8 + 5 = 13
12 + 8n = 13 + 56n

Solving
12 + 8n = 13 + 56n

Solving for variable 'n'.

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

Add '-56n' to each side of the equation.
12 + 8n + -56n = 13 + 56n + -56n

Combine like terms: 8n + -56n = -48n
12 + -48n = 13 + 56n + -56n

Combine like terms: 56n + -56n = 0
12 + -48n = 13 + 0
12 + -48n = 13

Add '-12' to each side of the equation.
12 + -12 + -48n = 13 + -12

Combine like terms: 12 + -12 = 0
0 + -48n = 13 + -12
-48n = 13 + -12

Combine like terms: 13 + -12 = 1
-48n = 1

Divide each side by '-48'.
n = -0.02083333333

Simplifying
n = -0.02083333333

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