.5(1.2k+6)=7.1k+34.4

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Solution for .5(1.2k+6)=7.1k+34.4 equation:


Simplifying
0.5(1.2k + 6) = 7.1k + 34.4

Reorder the terms:
0.5(6 + 1.2k) = 7.1k + 34.4
(6 * 0.5 + 1.2k * 0.5) = 7.1k + 34.4
(3 + 0.6k) = 7.1k + 34.4

Reorder the terms:
3 + 0.6k = 34.4 + 7.1k

Solving
3 + 0.6k = 34.4 + 7.1k

Solving for variable 'k'.

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

Add '-7.1k' to each side of the equation.
3 + 0.6k + -7.1k = 34.4 + 7.1k + -7.1k

Combine like terms: 0.6k + -7.1k = -6.5k
3 + -6.5k = 34.4 + 7.1k + -7.1k

Combine like terms: 7.1k + -7.1k = 0.0
3 + -6.5k = 34.4 + 0.0
3 + -6.5k = 34.4

Add '-3' to each side of the equation.
3 + -3 + -6.5k = 34.4 + -3

Combine like terms: 3 + -3 = 0
0 + -6.5k = 34.4 + -3
-6.5k = 34.4 + -3

Combine like terms: 34.4 + -3 = 31.4
-6.5k = 31.4

Divide each side by '-6.5'.
k = -4.830769231

Simplifying
k = -4.830769231

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