3(2k-5)=4-2(5k+6)

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Solution for 3(2k-5)=4-2(5k+6) equation:


Simplifying
3(2k + -5) = 4 + -2(5k + 6)

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

Reorder the terms:
-15 + 6k = 4 + -2(6 + 5k)
-15 + 6k = 4 + (6 * -2 + 5k * -2)
-15 + 6k = 4 + (-12 + -10k)

Combine like terms: 4 + -12 = -8
-15 + 6k = -8 + -10k

Solving
-15 + 6k = -8 + -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 = -8 + -10k + 10k

Combine like terms: 6k + 10k = 16k
-15 + 16k = -8 + -10k + 10k

Combine like terms: -10k + 10k = 0
-15 + 16k = -8 + 0
-15 + 16k = -8

Add '15' to each side of the equation.
-15 + 15 + 16k = -8 + 15

Combine like terms: -15 + 15 = 0
0 + 16k = -8 + 15
16k = -8 + 15

Combine like terms: -8 + 15 = 7
16k = 7

Divide each side by '16'.
k = 0.4375

Simplifying
k = 0.4375

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