.5(25-5k)=21-3(k-4)

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Solution for .5(25-5k)=21-3(k-4) equation: 


Simplifying
0.5(25 + -5k) = 21 + -3(k + -4)
(25 * 0.5 + -5k * 0.5) = 21 + -3(k + -4)
(12.5 + -2.5k) = 21 + -3(k + -4)

Reorder the terms:
12.5 + -2.5k = 21 + -3(-4 + k)
12.5 + -2.5k = 21 + (-4 * -3 + k * -3)
12.5 + -2.5k = 21 + (12 + -3k)

Combine like terms: 21 + 12 = 33
12.5 + -2.5k = 33 + -3k

Solving
12.5 + -2.5k = 33 + -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
12.5 + -2.5k + 3k = 33 + -3k + 3k

Combine like terms: -2.5k + 3k = 0.5k
12.5 + 0.5k = 33 + -3k + 3k

Combine like terms: -3k + 3k = 0
12.5 + 0.5k = 33 + 0
12.5 + 0.5k = 33

Add '-12.5' to each side of the equation.
12.5 + -12.5 + 0.5k = 33 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + 0.5k = 33 + -12.5
0.5k = 33 + -12.5

Combine like terms: 33 + -12.5 = 20.5
0.5k = 20.5

Divide each side by '0.5'.
k = 41

Simplifying
k = 41

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