5.3(n-4.3)=-4.4(2.9+3.7n)+7.7

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Solution for 5.3(n-4.3)=-4.4(2.9+3.7n)+7.7 equation: 


Simplifying
5.3(n + -4.3) = -4.4(2.9 + 3.7n) + 7.7

Reorder the terms:
5.3(-4.3 + n) = -4.4(2.9 + 3.7n) + 7.7
(-4.3 * 5.3 + n * 5.3) = -4.4(2.9 + 3.7n) + 7.7
(-22.79 + 5.3n) = -4.4(2.9 + 3.7n) + 7.7
-22.79 + 5.3n = (2.9 * -4.4 + 3.7n * -4.4) + 7.7
-22.79 + 5.3n = (-12.76 + -16.28n) + 7.7

Reorder the terms:
-22.79 + 5.3n = -12.76 + 7.7 + -16.28n

Combine like terms: -12.76 + 7.7 = -5.06
-22.79 + 5.3n = -5.06 + -16.28n

Solving
-22.79 + 5.3n = -5.06 + -16.28n

Solving for variable 'n'.

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

Add '16.28n' to each side of the equation.
-22.79 + 5.3n + 16.28n = -5.06 + -16.28n + 16.28n

Combine like terms: 5.3n + 16.28n = 21.58n
-22.79 + 21.58n = -5.06 + -16.28n + 16.28n

Combine like terms: -16.28n + 16.28n = 0.00
-22.79 + 21.58n = -5.06 + 0.00
-22.79 + 21.58n = -5.06

Add '22.79' to each side of the equation.
-22.79 + 22.79 + 21.58n = -5.06 + 22.79

Combine like terms: -22.79 + 22.79 = 0.00
0.00 + 21.58n = -5.06 + 22.79
21.58n = -5.06 + 22.79

Combine like terms: -5.06 + 22.79 = 17.73
21.58n = 17.73

Divide each side by '21.58'.
n = 0.8215940686

Simplifying
n = 0.8215940686

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