8(12-k)=3(k+22)

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Solution for 8(12-k)=3(k+22) equation:


Simplifying
8(12 + -1k) = 3(k + 22)
(12 * 8 + -1k * 8) = 3(k + 22)
(96 + -8k) = 3(k + 22)

Reorder the terms:
96 + -8k = 3(22 + k)
96 + -8k = (22 * 3 + k * 3)
96 + -8k = (66 + 3k)

Solving
96 + -8k = 66 + 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
96 + -8k + -3k = 66 + 3k + -3k

Combine like terms: -8k + -3k = -11k
96 + -11k = 66 + 3k + -3k

Combine like terms: 3k + -3k = 0
96 + -11k = 66 + 0
96 + -11k = 66

Add '-96' to each side of the equation.
96 + -96 + -11k = 66 + -96

Combine like terms: 96 + -96 = 0
0 + -11k = 66 + -96
-11k = 66 + -96

Combine like terms: 66 + -96 = -30
-11k = -30

Divide each side by '-11'.
k = 2.727272727

Simplifying
k = 2.727272727

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