3.2k+0.6=-3.7+8.5(k-1.6)

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Solution for 3.2k+0.6=-3.7+8.5(k-1.6) equation:


Simplifying
3.2k + 0.6 = -3.7 + 8.5(k + -1.6)

Reorder the terms:
0.6 + 3.2k = -3.7 + 8.5(k + -1.6)

Reorder the terms:
0.6 + 3.2k = -3.7 + 8.5(-1.6 + k)
0.6 + 3.2k = -3.7 + (-1.6 * 8.5 + k * 8.5)
0.6 + 3.2k = -3.7 + (-13.6 + 8.5k)

Combine like terms: -3.7 + -13.6 = -17.3
0.6 + 3.2k = -17.3 + 8.5k

Solving
0.6 + 3.2k = -17.3 + 8.5k

Solving for variable 'k'.

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

Add '-8.5k' to each side of the equation.
0.6 + 3.2k + -8.5k = -17.3 + 8.5k + -8.5k

Combine like terms: 3.2k + -8.5k = -5.3k
0.6 + -5.3k = -17.3 + 8.5k + -8.5k

Combine like terms: 8.5k + -8.5k = 0.0
0.6 + -5.3k = -17.3 + 0.0
0.6 + -5.3k = -17.3

Add '-0.6' to each side of the equation.
0.6 + -0.6 + -5.3k = -17.3 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -5.3k = -17.3 + -0.6
-5.3k = -17.3 + -0.6

Combine like terms: -17.3 + -0.6 = -17.9
-5.3k = -17.9

Divide each side by '-5.3'.
k = 3.377358491

Simplifying
k = 3.377358491

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