2(2n+5)=7(5n+5)+9

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Solution for 2(2n+5)=7(5n+5)+9 equation:


Simplifying
2(2n + 5) = 7(5n + 5) + 9

Reorder the terms:
2(5 + 2n) = 7(5n + 5) + 9
(5 * 2 + 2n * 2) = 7(5n + 5) + 9
(10 + 4n) = 7(5n + 5) + 9

Reorder the terms:
10 + 4n = 7(5 + 5n) + 9
10 + 4n = (5 * 7 + 5n * 7) + 9
10 + 4n = (35 + 35n) + 9

Reorder the terms:
10 + 4n = 35 + 9 + 35n

Combine like terms: 35 + 9 = 44
10 + 4n = 44 + 35n

Solving
10 + 4n = 44 + 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.
10 + 4n + -35n = 44 + 35n + -35n

Combine like terms: 4n + -35n = -31n
10 + -31n = 44 + 35n + -35n

Combine like terms: 35n + -35n = 0
10 + -31n = 44 + 0
10 + -31n = 44

Add '-10' to each side of the equation.
10 + -10 + -31n = 44 + -10

Combine like terms: 10 + -10 = 0
0 + -31n = 44 + -10
-31n = 44 + -10

Combine like terms: 44 + -10 = 34
-31n = 34

Divide each side by '-31'.
n = -1.096774194

Simplifying
n = -1.096774194

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