4(k+5)=2(9k-5)

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Solution for 4(k+5)=2(9k-5) equation:


Simplifying
4(k + 5) = 2(9k + -5)

Reorder the terms:
4(5 + k) = 2(9k + -5)
(5 * 4 + k * 4) = 2(9k + -5)
(20 + 4k) = 2(9k + -5)

Reorder the terms:
20 + 4k = 2(-5 + 9k)
20 + 4k = (-5 * 2 + 9k * 2)
20 + 4k = (-10 + 18k)

Solving
20 + 4k = -10 + 18k

Solving for variable 'k'.

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

Add '-18k' to each side of the equation.
20 + 4k + -18k = -10 + 18k + -18k

Combine like terms: 4k + -18k = -14k
20 + -14k = -10 + 18k + -18k

Combine like terms: 18k + -18k = 0
20 + -14k = -10 + 0
20 + -14k = -10

Add '-20' to each side of the equation.
20 + -20 + -14k = -10 + -20

Combine like terms: 20 + -20 = 0
0 + -14k = -10 + -20
-14k = -10 + -20

Combine like terms: -10 + -20 = -30
-14k = -30

Divide each side by '-14'.
k = 2.142857143

Simplifying
k = 2.142857143

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