13-.3(k-3)=.7(11k-3)

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Solution for 13-.3(k-3)=.7(11k-3) equation: 


Simplifying
13 + -0.3(k + -3) = 0.7(11k + -3)

Reorder the terms:
13 + -0.3(-3 + k) = 0.7(11k + -3)
13 + (-3 * -0.3 + k * -0.3) = 0.7(11k + -3)
13 + (0.9 + -0.3k) = 0.7(11k + -3)

Combine like terms: 13 + 0.9 = 13.9
13.9 + -0.3k = 0.7(11k + -3)

Reorder the terms:
13.9 + -0.3k = 0.7(-3 + 11k)
13.9 + -0.3k = (-3 * 0.7 + 11k * 0.7)
13.9 + -0.3k = (-2.1 + 7.7k)

Solving
13.9 + -0.3k = -2.1 + 7.7k

Solving for variable 'k'.

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

Add '-7.7k' to each side of the equation.
13.9 + -0.3k + -7.7k = -2.1 + 7.7k + -7.7k

Combine like terms: -0.3k + -7.7k = -8k
13.9 + -8k = -2.1 + 7.7k + -7.7k

Combine like terms: 7.7k + -7.7k = 0.0
13.9 + -8k = -2.1 + 0.0
13.9 + -8k = -2.1

Add '-13.9' to each side of the equation.
13.9 + -13.9 + -8k = -2.1 + -13.9

Combine like terms: 13.9 + -13.9 = 0.0
0.0 + -8k = -2.1 + -13.9
-8k = -2.1 + -13.9

Combine like terms: -2.1 + -13.9 = -16
-8k = -16

Divide each side by '-8'.
k = 2

Simplifying
k = 2

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