3(2k-5)=11-5(2k+4)

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Solution for 3(2k-5)=11-5(2k+4) equation:


Simplifying
3(2k + -5) = 11 + -5(2k + 4)

Reorder the terms:
3(-5 + 2k) = 11 + -5(2k + 4)
(-5 * 3 + 2k * 3) = 11 + -5(2k + 4)
(-15 + 6k) = 11 + -5(2k + 4)

Reorder the terms:
-15 + 6k = 11 + -5(4 + 2k)
-15 + 6k = 11 + (4 * -5 + 2k * -5)
-15 + 6k = 11 + (-20 + -10k)

Combine like terms: 11 + -20 = -9
-15 + 6k = -9 + -10k

Solving
-15 + 6k = -9 + -10k

Solving for variable 'k'.

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

Add '10k' to each side of the equation.
-15 + 6k + 10k = -9 + -10k + 10k

Combine like terms: 6k + 10k = 16k
-15 + 16k = -9 + -10k + 10k

Combine like terms: -10k + 10k = 0
-15 + 16k = -9 + 0
-15 + 16k = -9

Add '15' to each side of the equation.
-15 + 15 + 16k = -9 + 15

Combine like terms: -15 + 15 = 0
0 + 16k = -9 + 15
16k = -9 + 15

Combine like terms: -9 + 15 = 6
16k = 6

Divide each side by '16'.
k = 0.375

Simplifying
k = 0.375

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