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

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


Simplifying
0.25(25 + -5k) = 21 + -3(k + -4)
(25 * 0.25 + -5k * 0.25) = 21 + -3(k + -4)
(6.25 + -1.25k) = 21 + -3(k + -4)

Reorder the terms:
6.25 + -1.25k = 21 + -3(-4 + k)
6.25 + -1.25k = 21 + (-4 * -3 + k * -3)
6.25 + -1.25k = 21 + (12 + -3k)

Combine like terms: 21 + 12 = 33
6.25 + -1.25k = 33 + -3k

Solving
6.25 + -1.25k = 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.
6.25 + -1.25k + 3k = 33 + -3k + 3k

Combine like terms: -1.25k + 3k = 1.75k
6.25 + 1.75k = 33 + -3k + 3k

Combine like terms: -3k + 3k = 0
6.25 + 1.75k = 33 + 0
6.25 + 1.75k = 33

Add '-6.25' to each side of the equation.
6.25 + -6.25 + 1.75k = 33 + -6.25

Combine like terms: 6.25 + -6.25 = 0.00
0.00 + 1.75k = 33 + -6.25
1.75k = 33 + -6.25

Combine like terms: 33 + -6.25 = 26.75
1.75k = 26.75

Divide each side by '1.75'.
k = 15.28571429

Simplifying
k = 15.28571429

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