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

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


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

Reorder the terms:
6k + 3(4 + 2k) = 4(2k + -3) + -6
6k + (4 * 3 + 2k * 3) = 4(2k + -3) + -6
6k + (12 + 6k) = 4(2k + -3) + -6

Reorder the terms:
12 + 6k + 6k = 4(2k + -3) + -6

Combine like terms: 6k + 6k = 12k
12 + 12k = 4(2k + -3) + -6

Reorder the terms:
12 + 12k = 4(-3 + 2k) + -6
12 + 12k = (-3 * 4 + 2k * 4) + -6
12 + 12k = (-12 + 8k) + -6

Reorder the terms:
12 + 12k = -12 + -6 + 8k

Combine like terms: -12 + -6 = -18
12 + 12k = -18 + 8k

Solving
12 + 12k = -18 + 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
12 + 12k + -8k = -18 + 8k + -8k

Combine like terms: 12k + -8k = 4k
12 + 4k = -18 + 8k + -8k

Combine like terms: 8k + -8k = 0
12 + 4k = -18 + 0
12 + 4k = -18

Add '-12' to each side of the equation.
12 + -12 + 4k = -18 + -12

Combine like terms: 12 + -12 = 0
0 + 4k = -18 + -12
4k = -18 + -12

Combine like terms: -18 + -12 = -30
4k = -30

Divide each side by '4'.
k = -7.5

Simplifying
k = -7.5

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