7(2n+3)=6(6n+5)+4

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Solution for 7(2n+3)=6(6n+5)+4 equation:


Simplifying
7(2n + 3) = 6(6n + 5) + 4

Reorder the terms:
7(3 + 2n) = 6(6n + 5) + 4
(3 * 7 + 2n * 7) = 6(6n + 5) + 4
(21 + 14n) = 6(6n + 5) + 4

Reorder the terms:
21 + 14n = 6(5 + 6n) + 4
21 + 14n = (5 * 6 + 6n * 6) + 4
21 + 14n = (30 + 36n) + 4

Reorder the terms:
21 + 14n = 30 + 4 + 36n

Combine like terms: 30 + 4 = 34
21 + 14n = 34 + 36n

Solving
21 + 14n = 34 + 36n

Solving for variable 'n'.

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

Add '-36n' to each side of the equation.
21 + 14n + -36n = 34 + 36n + -36n

Combine like terms: 14n + -36n = -22n
21 + -22n = 34 + 36n + -36n

Combine like terms: 36n + -36n = 0
21 + -22n = 34 + 0
21 + -22n = 34

Add '-21' to each side of the equation.
21 + -21 + -22n = 34 + -21

Combine like terms: 21 + -21 = 0
0 + -22n = 34 + -21
-22n = 34 + -21

Combine like terms: 34 + -21 = 13
-22n = 13

Divide each side by '-22'.
n = -0.5909090909

Simplifying
n = -0.5909090909

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