17k+19k+20=-9+7(7k-20)

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Solution for 17k+19k+20=-9+7(7k-20) equation: 


Simplifying
17k + 19k + 20 = -9 + 7(7k + -20)

Reorder the terms:
20 + 17k + 19k = -9 + 7(7k + -20)

Combine like terms: 17k + 19k = 36k
20 + 36k = -9 + 7(7k + -20)

Reorder the terms:
20 + 36k = -9 + 7(-20 + 7k)
20 + 36k = -9 + (-20 * 7 + 7k * 7)
20 + 36k = -9 + (-140 + 49k)

Combine like terms: -9 + -140 = -149
20 + 36k = -149 + 49k

Solving
20 + 36k = -149 + 49k

Solving for variable 'k'.

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

Add '-49k' to each side of the equation.
20 + 36k + -49k = -149 + 49k + -49k

Combine like terms: 36k + -49k = -13k
20 + -13k = -149 + 49k + -49k

Combine like terms: 49k + -49k = 0
20 + -13k = -149 + 0
20 + -13k = -149

Add '-20' to each side of the equation.
20 + -20 + -13k = -149 + -20

Combine like terms: 20 + -20 = 0
0 + -13k = -149 + -20
-13k = -149 + -20

Combine like terms: -149 + -20 = -169
-13k = -169

Divide each side by '-13'.
k = 13

Simplifying
k = 13

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