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

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


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

Reorder the terms:
4(-2 + k) = 2(k + -9)
(-2 * 4 + k * 4) = 2(k + -9)
(-8 + 4k) = 2(k + -9)

Reorder the terms:
-8 + 4k = 2(-9 + k)
-8 + 4k = (-9 * 2 + k * 2)
-8 + 4k = (-18 + 2k)

Solving
-8 + 4k = -18 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
-8 + 4k + -2k = -18 + 2k + -2k

Combine like terms: 4k + -2k = 2k
-8 + 2k = -18 + 2k + -2k

Combine like terms: 2k + -2k = 0
-8 + 2k = -18 + 0
-8 + 2k = -18

Add '8' to each side of the equation.
-8 + 8 + 2k = -18 + 8

Combine like terms: -8 + 8 = 0
0 + 2k = -18 + 8
2k = -18 + 8

Combine like terms: -18 + 8 = -10
2k = -10

Divide each side by '2'.
k = -5

Simplifying
k = -5

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