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

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


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

Reorder the terms:
7(2 + 3n) = 8(7n + 5) + 5
(2 * 7 + 3n * 7) = 8(7n + 5) + 5
(14 + 21n) = 8(7n + 5) + 5

Reorder the terms:
14 + 21n = 8(5 + 7n) + 5
14 + 21n = (5 * 8 + 7n * 8) + 5
14 + 21n = (40 + 56n) + 5

Reorder the terms:
14 + 21n = 40 + 5 + 56n

Combine like terms: 40 + 5 = 45
14 + 21n = 45 + 56n

Solving
14 + 21n = 45 + 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.
14 + 21n + -56n = 45 + 56n + -56n

Combine like terms: 21n + -56n = -35n
14 + -35n = 45 + 56n + -56n

Combine like terms: 56n + -56n = 0
14 + -35n = 45 + 0
14 + -35n = 45

Add '-14' to each side of the equation.
14 + -14 + -35n = 45 + -14

Combine like terms: 14 + -14 = 0
0 + -35n = 45 + -14
-35n = 45 + -14

Combine like terms: 45 + -14 = 31
-35n = 31

Divide each side by '-35'.
n = -0.8857142857

Simplifying
n = -0.8857142857

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