4(k+4)=-2(2k-5)-18

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Solution for 4(k+4)=-2(2k-5)-18 equation: 


Simplifying
4(k + 4) = -2(2k + -5) + -18

Reorder the terms:
4(4 + k) = -2(2k + -5) + -18
(4 * 4 + k * 4) = -2(2k + -5) + -18
(16 + 4k) = -2(2k + -5) + -18

Reorder the terms:
16 + 4k = -2(-5 + 2k) + -18
16 + 4k = (-5 * -2 + 2k * -2) + -18
16 + 4k = (10 + -4k) + -18

Reorder the terms:
16 + 4k = 10 + -18 + -4k

Combine like terms: 10 + -18 = -8
16 + 4k = -8 + -4k

Solving
16 + 4k = -8 + -4k

Solving for variable 'k'.

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

Add '4k' to each side of the equation.
16 + 4k + 4k = -8 + -4k + 4k

Combine like terms: 4k + 4k = 8k
16 + 8k = -8 + -4k + 4k

Combine like terms: -4k + 4k = 0
16 + 8k = -8 + 0
16 + 8k = -8

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

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

Combine like terms: -8 + -16 = -24
8k = -24

Divide each side by '8'.
k = -3

Simplifying
k = -3

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