10(2k+11)=12(2k+12)

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Solution for 10(2k+11)=12(2k+12) equation: 


Simplifying
10(2k + 11) = 12(2k + 12)

Reorder the terms:
10(11 + 2k) = 12(2k + 12)
(11 * 10 + 2k * 10) = 12(2k + 12)
(110 + 20k) = 12(2k + 12)

Reorder the terms:
110 + 20k = 12(12 + 2k)
110 + 20k = (12 * 12 + 2k * 12)
110 + 20k = (144 + 24k)

Solving
110 + 20k = 144 + 24k

Solving for variable 'k'.

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

Add '-24k' to each side of the equation.
110 + 20k + -24k = 144 + 24k + -24k

Combine like terms: 20k + -24k = -4k
110 + -4k = 144 + 24k + -24k

Combine like terms: 24k + -24k = 0
110 + -4k = 144 + 0
110 + -4k = 144

Add '-110' to each side of the equation.
110 + -110 + -4k = 144 + -110

Combine like terms: 110 + -110 = 0
0 + -4k = 144 + -110
-4k = 144 + -110

Combine like terms: 144 + -110 = 34
-4k = 34

Divide each side by '-4'.
k = -8.5

Simplifying
k = -8.5

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