88.8=-5(k-4.5)-3.5k

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Solution for 88.8=-5(k-4.5)-3.5k equation: 


Simplifying
88.8 = -5(k + -4.5) + -3.5k

Reorder the terms:
88.8 = -5(-4.5 + k) + -3.5k
88.8 = (-4.5 * -5 + k * -5) + -3.5k
88.8 = (22.5 + -5k) + -3.5k

Combine like terms: -5k + -3.5k = -8.5k
88.8 = 22.5 + -8.5k

Solving
88.8 = 22.5 + -8.5k

Solving for variable 'k'.

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

Add '8.5k' to each side of the equation.
88.8 + 8.5k = 22.5 + -8.5k + 8.5k

Combine like terms: -8.5k + 8.5k = 0.0
88.8 + 8.5k = 22.5 + 0.0
88.8 + 8.5k = 22.5

Add '-88.8' to each side of the equation.
88.8 + -88.8 + 8.5k = 22.5 + -88.8

Combine like terms: 88.8 + -88.8 = 0.0
0.0 + 8.5k = 22.5 + -88.8
8.5k = 22.5 + -88.8

Combine like terms: 22.5 + -88.8 = -66.3
8.5k = -66.3

Divide each side by '8.5'.
k = -7.8

Simplifying
k = -7.8

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