0.33(9k+3)=-2(k-8)

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Solution for 0.33(9k+3)=-2(k-8) equation: 


Simplifying
0.33(9k + 3) = -2(k + -8)

Reorder the terms:
0.33(3 + 9k) = -2(k + -8)
(3 * 0.33 + 9k * 0.33) = -2(k + -8)
(0.99 + 2.97k) = -2(k + -8)

Reorder the terms:
0.99 + 2.97k = -2(-8 + k)
0.99 + 2.97k = (-8 * -2 + k * -2)
0.99 + 2.97k = (16 + -2k)

Solving
0.99 + 2.97k = 16 + -2k

Solving for variable 'k'.

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

Add '2k' to each side of the equation.
0.99 + 2.97k + 2k = 16 + -2k + 2k

Combine like terms: 2.97k + 2k = 4.97k
0.99 + 4.97k = 16 + -2k + 2k

Combine like terms: -2k + 2k = 0
0.99 + 4.97k = 16 + 0
0.99 + 4.97k = 16

Add '-0.99' to each side of the equation.
0.99 + -0.99 + 4.97k = 16 + -0.99

Combine like terms: 0.99 + -0.99 = 0.00
0.00 + 4.97k = 16 + -0.99
4.97k = 16 + -0.99

Combine like terms: 16 + -0.99 = 15.01
4.97k = 15.01

Divide each side by '4.97'.
k = 3.020120724

Simplifying
k = 3.020120724

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