7(3n+5)=7(5n+2)+3

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


Simplifying
7(3n + 5) = 7(5n + 2) + 3

Reorder the terms:
7(5 + 3n) = 7(5n + 2) + 3
(5 * 7 + 3n * 7) = 7(5n + 2) + 3
(35 + 21n) = 7(5n + 2) + 3

Reorder the terms:
35 + 21n = 7(2 + 5n) + 3
35 + 21n = (2 * 7 + 5n * 7) + 3
35 + 21n = (14 + 35n) + 3

Reorder the terms:
35 + 21n = 14 + 3 + 35n

Combine like terms: 14 + 3 = 17
35 + 21n = 17 + 35n

Solving
35 + 21n = 17 + 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.
35 + 21n + -35n = 17 + 35n + -35n

Combine like terms: 21n + -35n = -14n
35 + -14n = 17 + 35n + -35n

Combine like terms: 35n + -35n = 0
35 + -14n = 17 + 0
35 + -14n = 17

Add '-35' to each side of the equation.
35 + -35 + -14n = 17 + -35

Combine like terms: 35 + -35 = 0
0 + -14n = 17 + -35
-14n = 17 + -35

Combine like terms: 17 + -35 = -18
-14n = -18

Divide each side by '-14'.
n = 1.285714286

Simplifying
n = 1.285714286

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