-4.4(1+.81k)=-14.3008-7.1k

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Solution for -4.4(1+.81k)=-14.3008-7.1k equation: 


Simplifying
-4.4(1 + 0.81k) = -14.3008 + -7.1k
(1 * -4.4 + 0.81k * -4.4) = -14.3008 + -7.1k
(-4.4 + -3.564k) = -14.3008 + -7.1k

Solving
-4.4 + -3.564k = -14.3008 + -7.1k

Solving for variable 'k'.

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

Add '7.1k' to each side of the equation.
-4.4 + -3.564k + 7.1k = -14.3008 + -7.1k + 7.1k

Combine like terms: -3.564k + 7.1k = 3.536k
-4.4 + 3.536k = -14.3008 + -7.1k + 7.1k

Combine like terms: -7.1k + 7.1k = 0.0
-4.4 + 3.536k = -14.3008 + 0.0
-4.4 + 3.536k = -14.3008

Add '4.4' to each side of the equation.
-4.4 + 4.4 + 3.536k = -14.3008 + 4.4

Combine like terms: -4.4 + 4.4 = 0.0
0.0 + 3.536k = -14.3008 + 4.4
3.536k = -14.3008 + 4.4

Combine like terms: -14.3008 + 4.4 = -9.9008
3.536k = -9.9008

Divide each side by '3.536'.
k = -2.8

Simplifying
k = -2.8

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