-5+2.5(1-4.5k)=-26.5

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Solution for -5+2.5(1-4.5k)=-26.5 equation: 


Simplifying
-5 + 2.5(1 + -4.5k) = -26.5
-5 + (1 * 2.5 + -4.5k * 2.5) = -26.5
-5 + (2.5 + -11.25k) = -26.5

Combine like terms: -5 + 2.5 = -2.5
-2.5 + -11.25k = -26.5

Solving
-2.5 + -11.25k = -26.5

Solving for variable 'k'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + -11.25k = -26.5 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + -11.25k = -26.5 + 2.5
-11.25k = -26.5 + 2.5

Combine like terms: -26.5 + 2.5 = -24
-11.25k = -24

Divide each side by '-11.25'.
k = 2.133333333

Simplifying
k = 2.133333333

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