4(k+5)=3(9k-4)

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Solution for 4(k+5)=3(9k-4) equation: 


Simplifying
4(k + 5) = 3(9k + -4)

Reorder the terms:
4(5 + k) = 3(9k + -4)
(5 * 4 + k * 4) = 3(9k + -4)
(20 + 4k) = 3(9k + -4)

Reorder the terms:
20 + 4k = 3(-4 + 9k)
20 + 4k = (-4 * 3 + 9k * 3)
20 + 4k = (-12 + 27k)

Solving
20 + 4k = -12 + 27k

Solving for variable 'k'.

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

Add '-27k' to each side of the equation.
20 + 4k + -27k = -12 + 27k + -27k

Combine like terms: 4k + -27k = -23k
20 + -23k = -12 + 27k + -27k

Combine like terms: 27k + -27k = 0
20 + -23k = -12 + 0
20 + -23k = -12

Add '-20' to each side of the equation.
20 + -20 + -23k = -12 + -20

Combine like terms: 20 + -20 = 0
0 + -23k = -12 + -20
-23k = -12 + -20

Combine like terms: -12 + -20 = -32
-23k = -32

Divide each side by '-23'.
k = 1.391304348

Simplifying
k = 1.391304348

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