-7-5.5(1+8k)=25.5

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Solution for -7-5.5(1+8k)=25.5 equation: 


Simplifying
-7 + -5.5(1 + 8k) = 25.5
-7 + (1 * -5.5 + 8k * -5.5) = 25.5
-7 + (-5.5 + -44k) = 25.5

Combine like terms: -7 + -5.5 = -12.5
-12.5 + -44k = 25.5

Solving
-12.5 + -44k = 25.5

Solving for variable 'k'.

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

Add '12.5' to each side of the equation.
-12.5 + 12.5 + -44k = 25.5 + 12.5

Combine like terms: -12.5 + 12.5 = 0.0
0.0 + -44k = 25.5 + 12.5
-44k = 25.5 + 12.5

Combine like terms: 25.5 + 12.5 = 38
-44k = 38

Divide each side by '-44'.
k = -0.8636363636

Simplifying
k = -0.8636363636

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