-3(2.5-k)+0.57(7+8k)=

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Solution for -3(2.5-k)+0.57(7+8k)= equation: 


Simplifying
-3(2.5 + -1k) + 0.57(7 + 8k) = 0
(2.5 * -3 + -1k * -3) + 0.57(7 + 8k) = 0
(-7.5 + 3k) + 0.57(7 + 8k) = 0
-7.5 + 3k + (7 * 0.57 + 8k * 0.57) = 0
-7.5 + 3k + (3.99 + 4.56k) = 0

Reorder the terms:
-7.5 + 3.99 + 3k + 4.56k = 0

Combine like terms: -7.5 + 3.99 = -3.51
-3.51 + 3k + 4.56k = 0

Combine like terms: 3k + 4.56k = 7.56k
-3.51 + 7.56k = 0

Solving
-3.51 + 7.56k = 0

Solving for variable 'k'.

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

Add '3.51' to each side of the equation.
-3.51 + 3.51 + 7.56k = 0 + 3.51

Combine like terms: -3.51 + 3.51 = 0.00
0.00 + 7.56k = 0 + 3.51
7.56k = 0 + 3.51

Combine like terms: 0 + 3.51 = 3.51
7.56k = 3.51

Divide each side by '7.56'.
k = 0.4642857143

Simplifying
k = 0.4642857143

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