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

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


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

Reorder the terms:
7(4 + 3n) = 7(9n + 8) + 1
(4 * 7 + 3n * 7) = 7(9n + 8) + 1
(28 + 21n) = 7(9n + 8) + 1

Reorder the terms:
28 + 21n = 7(8 + 9n) + 1
28 + 21n = (8 * 7 + 9n * 7) + 1
28 + 21n = (56 + 63n) + 1

Reorder the terms:
28 + 21n = 56 + 1 + 63n

Combine like terms: 56 + 1 = 57
28 + 21n = 57 + 63n

Solving
28 + 21n = 57 + 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.
28 + 21n + -63n = 57 + 63n + -63n

Combine like terms: 21n + -63n = -42n
28 + -42n = 57 + 63n + -63n

Combine like terms: 63n + -63n = 0
28 + -42n = 57 + 0
28 + -42n = 57

Add '-28' to each side of the equation.
28 + -28 + -42n = 57 + -28

Combine like terms: 28 + -28 = 0
0 + -42n = 57 + -28
-42n = 57 + -28

Combine like terms: 57 + -28 = 29
-42n = 29

Divide each side by '-42'.
n = -0.6904761905

Simplifying
n = -0.6904761905

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