6(7k+26.6)-30.9=309.3

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Solution for 6(7k+26.6)-30.9=309.3 equation:


Simplifying
6(7k + 26.6) + -30.9 = 309.3

Reorder the terms:
6(26.6 + 7k) + -30.9 = 309.3
(26.6 * 6 + 7k * 6) + -30.9 = 309.3
(159.6 + 42k) + -30.9 = 309.3

Reorder the terms:
159.6 + -30.9 + 42k = 309.3

Combine like terms: 159.6 + -30.9 = 128.7
128.7 + 42k = 309.3

Solving
128.7 + 42k = 309.3

Solving for variable 'k'.

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

Add '-128.7' to each side of the equation.
128.7 + -128.7 + 42k = 309.3 + -128.7

Combine like terms: 128.7 + -128.7 = 0.0
0.0 + 42k = 309.3 + -128.7
42k = 309.3 + -128.7

Combine like terms: 309.3 + -128.7 = 180.6
42k = 180.6

Divide each side by '42'.
k = 4.3

Simplifying
k = 4.3

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