2.5(4k+2)=12k

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Solution for 2.5(4k+2)=12k equation:


Simplifying
2.5(4k + 2) = 12k

Reorder the terms:
2.5(2 + 4k) = 12k
(2 * 2.5 + 4k * 2.5) = 12k
(5 + 10k) = 12k

Solving
5 + 10k = 12k

Solving for variable 'k'.

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

Add '-12k' to each side of the equation.
5 + 10k + -12k = 12k + -12k

Combine like terms: 10k + -12k = -2k
5 + -2k = 12k + -12k

Combine like terms: 12k + -12k = 0
5 + -2k = 0

Add '-5' to each side of the equation.
5 + -5 + -2k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2k = 0 + -5
-2k = 0 + -5

Combine like terms: 0 + -5 = -5
-2k = -5

Divide each side by '-2'.
k = 2.5

Simplifying
k = 2.5

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