-k+20=3(3k-20)

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Solution for -k+20=3(3k-20) equation:


Simplifying
-1k + 20 = 3(3k + -20)

Reorder the terms:
20 + -1k = 3(3k + -20)

Reorder the terms:
20 + -1k = 3(-20 + 3k)
20 + -1k = (-20 * 3 + 3k * 3)
20 + -1k = (-60 + 9k)

Solving
20 + -1k = -60 + 9k

Solving for variable 'k'.

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

Add '-9k' to each side of the equation.
20 + -1k + -9k = -60 + 9k + -9k

Combine like terms: -1k + -9k = -10k
20 + -10k = -60 + 9k + -9k

Combine like terms: 9k + -9k = 0
20 + -10k = -60 + 0
20 + -10k = -60

Add '-20' to each side of the equation.
20 + -20 + -10k = -60 + -20

Combine like terms: 20 + -20 = 0
0 + -10k = -60 + -20
-10k = -60 + -20

Combine like terms: -60 + -20 = -80
-10k = -80

Divide each side by '-10'.
k = 8

Simplifying
k = 8

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