4(4k+2)-8(k-2)=3(2k+1)-2

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Solution for 4(4k+2)-8(k-2)=3(2k+1)-2 equation:


Simplifying
4(4k + 2) + -8(k + -2) = 3(2k + 1) + -2

Reorder the terms:
4(2 + 4k) + -8(k + -2) = 3(2k + 1) + -2
(2 * 4 + 4k * 4) + -8(k + -2) = 3(2k + 1) + -2
(8 + 16k) + -8(k + -2) = 3(2k + 1) + -2

Reorder the terms:
8 + 16k + -8(-2 + k) = 3(2k + 1) + -2
8 + 16k + (-2 * -8 + k * -8) = 3(2k + 1) + -2
8 + 16k + (16 + -8k) = 3(2k + 1) + -2

Reorder the terms:
8 + 16 + 16k + -8k = 3(2k + 1) + -2

Combine like terms: 8 + 16 = 24
24 + 16k + -8k = 3(2k + 1) + -2

Combine like terms: 16k + -8k = 8k
24 + 8k = 3(2k + 1) + -2

Reorder the terms:
24 + 8k = 3(1 + 2k) + -2
24 + 8k = (1 * 3 + 2k * 3) + -2
24 + 8k = (3 + 6k) + -2

Reorder the terms:
24 + 8k = 3 + -2 + 6k

Combine like terms: 3 + -2 = 1
24 + 8k = 1 + 6k

Solving
24 + 8k = 1 + 6k

Solving for variable 'k'.

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

Add '-6k' to each side of the equation.
24 + 8k + -6k = 1 + 6k + -6k

Combine like terms: 8k + -6k = 2k
24 + 2k = 1 + 6k + -6k

Combine like terms: 6k + -6k = 0
24 + 2k = 1 + 0
24 + 2k = 1

Add '-24' to each side of the equation.
24 + -24 + 2k = 1 + -24

Combine like terms: 24 + -24 = 0
0 + 2k = 1 + -24
2k = 1 + -24

Combine like terms: 1 + -24 = -23
2k = -23

Divide each side by '2'.
k = -11.5

Simplifying
k = -11.5

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