4(4k+2)-8(k-2)=3(2k+5)-1

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Solution for 4(4k+2)-8(k-2)=3(2k+5)-1 equation: 


Simplifying
4(4k + 2) + -8(k + -2) = 3(2k + 5) + -1

Reorder the terms:
4(2 + 4k) + -8(k + -2) = 3(2k + 5) + -1
(2 * 4 + 4k * 4) + -8(k + -2) = 3(2k + 5) + -1
(8 + 16k) + -8(k + -2) = 3(2k + 5) + -1

Reorder the terms:
8 + 16k + -8(-2 + k) = 3(2k + 5) + -1
8 + 16k + (-2 * -8 + k * -8) = 3(2k + 5) + -1
8 + 16k + (16 + -8k) = 3(2k + 5) + -1

Reorder the terms:
8 + 16 + 16k + -8k = 3(2k + 5) + -1

Combine like terms: 8 + 16 = 24
24 + 16k + -8k = 3(2k + 5) + -1

Combine like terms: 16k + -8k = 8k
24 + 8k = 3(2k + 5) + -1

Reorder the terms:
24 + 8k = 3(5 + 2k) + -1
24 + 8k = (5 * 3 + 2k * 3) + -1
24 + 8k = (15 + 6k) + -1

Reorder the terms:
24 + 8k = 15 + -1 + 6k

Combine like terms: 15 + -1 = 14
24 + 8k = 14 + 6k

Solving
24 + 8k = 14 + 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 = 14 + 6k + -6k

Combine like terms: 8k + -6k = 2k
24 + 2k = 14 + 6k + -6k

Combine like terms: 6k + -6k = 0
24 + 2k = 14 + 0
24 + 2k = 14

Add '-24' to each side of the equation.
24 + -24 + 2k = 14 + -24

Combine like terms: 24 + -24 = 0
0 + 2k = 14 + -24
2k = 14 + -24

Combine like terms: 14 + -24 = -10
2k = -10

Divide each side by '2'.
k = -5

Simplifying
k = -5

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