2(2k-9)-3(3k+4)-19k=

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Solution for 2(2k-9)-3(3k+4)-19k= equation: 


Simplifying
2(2k + -9) + -3(3k + 4) + -19k = 0

Reorder the terms:
2(-9 + 2k) + -3(3k + 4) + -19k = 0
(-9 * 2 + 2k * 2) + -3(3k + 4) + -19k = 0
(-18 + 4k) + -3(3k + 4) + -19k = 0

Reorder the terms:
-18 + 4k + -3(4 + 3k) + -19k = 0
-18 + 4k + (4 * -3 + 3k * -3) + -19k = 0
-18 + 4k + (-12 + -9k) + -19k = 0

Reorder the terms:
-18 + -12 + 4k + -9k + -19k = 0

Combine like terms: -18 + -12 = -30
-30 + 4k + -9k + -19k = 0

Combine like terms: 4k + -9k = -5k
-30 + -5k + -19k = 0

Combine like terms: -5k + -19k = -24k
-30 + -24k = 0

Solving
-30 + -24k = 0

Solving for variable 'k'.

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

Add '30' to each side of the equation.
-30 + 30 + -24k = 0 + 30

Combine like terms: -30 + 30 = 0
0 + -24k = 0 + 30
-24k = 0 + 30

Combine like terms: 0 + 30 = 30
-24k = 30

Divide each side by '-24'.
k = -1.25

Simplifying
k = -1.25

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