8-0.3(k-9)=0.6(5k-9)

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Solution for 8-0.3(k-9)=0.6(5k-9) equation: 


Simplifying
8 + -0.3(k + -9) = 0.6(5k + -9)

Reorder the terms:
8 + -0.3(-9 + k) = 0.6(5k + -9)
8 + (-9 * -0.3 + k * -0.3) = 0.6(5k + -9)
8 + (2.7 + -0.3k) = 0.6(5k + -9)

Combine like terms: 8 + 2.7 = 10.7
10.7 + -0.3k = 0.6(5k + -9)

Reorder the terms:
10.7 + -0.3k = 0.6(-9 + 5k)
10.7 + -0.3k = (-9 * 0.6 + 5k * 0.6)
10.7 + -0.3k = (-5.4 + 3k)

Solving
10.7 + -0.3k = -5.4 + 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
10.7 + -0.3k + -3k = -5.4 + 3k + -3k

Combine like terms: -0.3k + -3k = -3.3k
10.7 + -3.3k = -5.4 + 3k + -3k

Combine like terms: 3k + -3k = 0
10.7 + -3.3k = -5.4 + 0
10.7 + -3.3k = -5.4

Add '-10.7' to each side of the equation.
10.7 + -10.7 + -3.3k = -5.4 + -10.7

Combine like terms: 10.7 + -10.7 = 0.0
0.0 + -3.3k = -5.4 + -10.7
-3.3k = -5.4 + -10.7

Combine like terms: -5.4 + -10.7 = -16.1
-3.3k = -16.1

Divide each side by '-3.3'.
k = 4.878787879

Simplifying
k = 4.878787879

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