(4n+1)+9(4n+1)+18=0

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Solution for (4n+1)+9(4n+1)+18=0 equation:


Simplifying
(4n + 1) + 9(4n + 1) + 18 = 0

Reorder the terms:
(1 + 4n) + 9(4n + 1) + 18 = 0

Remove parenthesis around (1 + 4n)
1 + 4n + 9(4n + 1) + 18 = 0

Reorder the terms:
1 + 4n + 9(1 + 4n) + 18 = 0
1 + 4n + (1 * 9 + 4n * 9) + 18 = 0
1 + 4n + (9 + 36n) + 18 = 0

Reorder the terms:
1 + 9 + 18 + 4n + 36n = 0

Combine like terms: 1 + 9 = 10
10 + 18 + 4n + 36n = 0

Combine like terms: 10 + 18 = 28
28 + 4n + 36n = 0

Combine like terms: 4n + 36n = 40n
28 + 40n = 0

Solving
28 + 40n = 0

Solving for variable 'n'.

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

Add '-28' to each side of the equation.
28 + -28 + 40n = 0 + -28

Combine like terms: 28 + -28 = 0
0 + 40n = 0 + -28
40n = 0 + -28

Combine like terms: 0 + -28 = -28
40n = -28

Divide each side by '40'.
n = -0.7

Simplifying
n = -0.7

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