28-9(4n+4)=4(5n+1)-36n

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Solution for 28-9(4n+4)=4(5n+1)-36n equation:


Simplifying
28 + -9(4n + 4) = 4(5n + 1) + -36n

Reorder the terms:
28 + -9(4 + 4n) = 4(5n + 1) + -36n
28 + (4 * -9 + 4n * -9) = 4(5n + 1) + -36n
28 + (-36 + -36n) = 4(5n + 1) + -36n

Combine like terms: 28 + -36 = -8
-8 + -36n = 4(5n + 1) + -36n

Reorder the terms:
-8 + -36n = 4(1 + 5n) + -36n
-8 + -36n = (1 * 4 + 5n * 4) + -36n
-8 + -36n = (4 + 20n) + -36n

Combine like terms: 20n + -36n = -16n
-8 + -36n = 4 + -16n

Solving
-8 + -36n = 4 + -16n

Solving for variable 'n'.

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

Add '16n' to each side of the equation.
-8 + -36n + 16n = 4 + -16n + 16n

Combine like terms: -36n + 16n = -20n
-8 + -20n = 4 + -16n + 16n

Combine like terms: -16n + 16n = 0
-8 + -20n = 4 + 0
-8 + -20n = 4

Add '8' to each side of the equation.
-8 + 8 + -20n = 4 + 8

Combine like terms: -8 + 8 = 0
0 + -20n = 4 + 8
-20n = 4 + 8

Combine like terms: 4 + 8 = 12
-20n = 12

Divide each side by '-20'.
n = -0.6

Simplifying
n = -0.6

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