3k-18+9=-5(-k+8)-9

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Solution for 3k-18+9=-5(-k+8)-9 equation:


Simplifying
3k + -18 + 9 = -5(-1k + 8) + -9

Reorder the terms:
-18 + 9 + 3k = -5(-1k + 8) + -9

Combine like terms: -18 + 9 = -9
-9 + 3k = -5(-1k + 8) + -9

Reorder the terms:
-9 + 3k = -5(8 + -1k) + -9
-9 + 3k = (8 * -5 + -1k * -5) + -9
-9 + 3k = (-40 + 5k) + -9

Reorder the terms:
-9 + 3k = -40 + -9 + 5k

Combine like terms: -40 + -9 = -49
-9 + 3k = -49 + 5k

Solving
-9 + 3k = -49 + 5k

Solving for variable 'k'.

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

Add '-5k' to each side of the equation.
-9 + 3k + -5k = -49 + 5k + -5k

Combine like terms: 3k + -5k = -2k
-9 + -2k = -49 + 5k + -5k

Combine like terms: 5k + -5k = 0
-9 + -2k = -49 + 0
-9 + -2k = -49

Add '9' to each side of the equation.
-9 + 9 + -2k = -49 + 9

Combine like terms: -9 + 9 = 0
0 + -2k = -49 + 9
-2k = -49 + 9

Combine like terms: -49 + 9 = -40
-2k = -40

Divide each side by '-2'.
k = 20

Simplifying
k = 20

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