3.4(2k-7)=1.8(5-2k)

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Solution for 3.4(2k-7)=1.8(5-2k) equation:


Simplifying
3.4(2k + -7) = 1.8(5 + -2k)

Reorder the terms:
3.4(-7 + 2k) = 1.8(5 + -2k)
(-7 * 3.4 + 2k * 3.4) = 1.8(5 + -2k)
(-23.8 + 6.8k) = 1.8(5 + -2k)
-23.8 + 6.8k = (5 * 1.8 + -2k * 1.8)
-23.8 + 6.8k = (9 + -3.6k)

Solving
-23.8 + 6.8k = 9 + -3.6k

Solving for variable 'k'.

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

Add '3.6k' to each side of the equation.
-23.8 + 6.8k + 3.6k = 9 + -3.6k + 3.6k

Combine like terms: 6.8k + 3.6k = 10.4k
-23.8 + 10.4k = 9 + -3.6k + 3.6k

Combine like terms: -3.6k + 3.6k = 0.0
-23.8 + 10.4k = 9 + 0.0
-23.8 + 10.4k = 9

Add '23.8' to each side of the equation.
-23.8 + 23.8 + 10.4k = 9 + 23.8

Combine like terms: -23.8 + 23.8 = 0.0
0.0 + 10.4k = 9 + 23.8
10.4k = 9 + 23.8

Combine like terms: 9 + 23.8 = 32.8
10.4k = 32.8

Divide each side by '10.4'.
k = 3.153846154

Simplifying
k = 3.153846154

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