8(3n+2)=9(7n+4)+1

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Solution for 8(3n+2)=9(7n+4)+1 equation:


Simplifying
8(3n + 2) = 9(7n + 4) + 1

Reorder the terms:
8(2 + 3n) = 9(7n + 4) + 1
(2 * 8 + 3n * 8) = 9(7n + 4) + 1
(16 + 24n) = 9(7n + 4) + 1

Reorder the terms:
16 + 24n = 9(4 + 7n) + 1
16 + 24n = (4 * 9 + 7n * 9) + 1
16 + 24n = (36 + 63n) + 1

Reorder the terms:
16 + 24n = 36 + 1 + 63n

Combine like terms: 36 + 1 = 37
16 + 24n = 37 + 63n

Solving
16 + 24n = 37 + 63n

Solving for variable 'n'.

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

Add '-63n' to each side of the equation.
16 + 24n + -63n = 37 + 63n + -63n

Combine like terms: 24n + -63n = -39n
16 + -39n = 37 + 63n + -63n

Combine like terms: 63n + -63n = 0
16 + -39n = 37 + 0
16 + -39n = 37

Add '-16' to each side of the equation.
16 + -16 + -39n = 37 + -16

Combine like terms: 16 + -16 = 0
0 + -39n = 37 + -16
-39n = 37 + -16

Combine like terms: 37 + -16 = 21
-39n = 21

Divide each side by '-39'.
n = -0.5384615385

Simplifying
n = -0.5384615385

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