9(k-4)-5k=34-2(k+8)

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Solution for 9(k-4)-5k=34-2(k+8) equation:


Simplifying
9(k + -4) + -5k = 34 + -2(k + 8)

Reorder the terms:
9(-4 + k) + -5k = 34 + -2(k + 8)
(-4 * 9 + k * 9) + -5k = 34 + -2(k + 8)
(-36 + 9k) + -5k = 34 + -2(k + 8)

Combine like terms: 9k + -5k = 4k
-36 + 4k = 34 + -2(k + 8)

Reorder the terms:
-36 + 4k = 34 + -2(8 + k)
-36 + 4k = 34 + (8 * -2 + k * -2)
-36 + 4k = 34 + (-16 + -2k)

Combine like terms: 34 + -16 = 18
-36 + 4k = 18 + -2k

Solving
-36 + 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.
-36 + 4k + 2k = 18 + -2k + 2k

Combine like terms: 4k + 2k = 6k
-36 + 6k = 18 + -2k + 2k

Combine like terms: -2k + 2k = 0
-36 + 6k = 18 + 0
-36 + 6k = 18

Add '36' to each side of the equation.
-36 + 36 + 6k = 18 + 36

Combine like terms: -36 + 36 = 0
0 + 6k = 18 + 36
6k = 18 + 36

Combine like terms: 18 + 36 = 54
6k = 54

Divide each side by '6'.
k = 9

Simplifying
k = 9

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