4(2n+2)=7(5n+4)+5

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


Simplifying
4(2n + 2) = 7(5n + 4) + 5

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

Reorder the terms:
8 + 8n = 7(4 + 5n) + 5
8 + 8n = (4 * 7 + 5n * 7) + 5
8 + 8n = (28 + 35n) + 5

Reorder the terms:
8 + 8n = 28 + 5 + 35n

Combine like terms: 28 + 5 = 33
8 + 8n = 33 + 35n

Solving
8 + 8n = 33 + 35n

Solving for variable 'n'.

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

Add '-35n' to each side of the equation.
8 + 8n + -35n = 33 + 35n + -35n

Combine like terms: 8n + -35n = -27n
8 + -27n = 33 + 35n + -35n

Combine like terms: 35n + -35n = 0
8 + -27n = 33 + 0
8 + -27n = 33

Add '-8' to each side of the equation.
8 + -8 + -27n = 33 + -8

Combine like terms: 8 + -8 = 0
0 + -27n = 33 + -8
-27n = 33 + -8

Combine like terms: 33 + -8 = 25
-27n = 25

Divide each side by '-27'.
n = -0.9259259259

Simplifying
n = -0.9259259259

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