4(9n+2)-(9n-4)=2(6n+8)+1

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Solution for 4(9n+2)-(9n-4)=2(6n+8)+1 equation:


Simplifying
4(9n + 2) + -1(9n + -4) = 2(6n + 8) + 1

Reorder the terms:
4(2 + 9n) + -1(9n + -4) = 2(6n + 8) + 1
(2 * 4 + 9n * 4) + -1(9n + -4) = 2(6n + 8) + 1
(8 + 36n) + -1(9n + -4) = 2(6n + 8) + 1

Reorder the terms:
8 + 36n + -1(-4 + 9n) = 2(6n + 8) + 1
8 + 36n + (-4 * -1 + 9n * -1) = 2(6n + 8) + 1
8 + 36n + (4 + -9n) = 2(6n + 8) + 1

Reorder the terms:
8 + 4 + 36n + -9n = 2(6n + 8) + 1

Combine like terms: 8 + 4 = 12
12 + 36n + -9n = 2(6n + 8) + 1

Combine like terms: 36n + -9n = 27n
12 + 27n = 2(6n + 8) + 1

Reorder the terms:
12 + 27n = 2(8 + 6n) + 1
12 + 27n = (8 * 2 + 6n * 2) + 1
12 + 27n = (16 + 12n) + 1

Reorder the terms:
12 + 27n = 16 + 1 + 12n

Combine like terms: 16 + 1 = 17
12 + 27n = 17 + 12n

Solving
12 + 27n = 17 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
12 + 27n + -12n = 17 + 12n + -12n

Combine like terms: 27n + -12n = 15n
12 + 15n = 17 + 12n + -12n

Combine like terms: 12n + -12n = 0
12 + 15n = 17 + 0
12 + 15n = 17

Add '-12' to each side of the equation.
12 + -12 + 15n = 17 + -12

Combine like terms: 12 + -12 = 0
0 + 15n = 17 + -12
15n = 17 + -12

Combine like terms: 17 + -12 = 5
15n = 5

Divide each side by '15'.
n = 0.3333333333

Simplifying
n = 0.3333333333

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