38-5k=8+8(-4k-3)

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Solution for 38-5k=8+8(-4k-3) equation:


Simplifying
38 + -5k = 8 + 8(-4k + -3)

Reorder the terms:
38 + -5k = 8 + 8(-3 + -4k)
38 + -5k = 8 + (-3 * 8 + -4k * 8)
38 + -5k = 8 + (-24 + -32k)

Combine like terms: 8 + -24 = -16
38 + -5k = -16 + -32k

Solving
38 + -5k = -16 + -32k

Solving for variable 'k'.

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

Add '32k' to each side of the equation.
38 + -5k + 32k = -16 + -32k + 32k

Combine like terms: -5k + 32k = 27k
38 + 27k = -16 + -32k + 32k

Combine like terms: -32k + 32k = 0
38 + 27k = -16 + 0
38 + 27k = -16

Add '-38' to each side of the equation.
38 + -38 + 27k = -16 + -38

Combine like terms: 38 + -38 = 0
0 + 27k = -16 + -38
27k = -16 + -38

Combine like terms: -16 + -38 = -54
27k = -54

Divide each side by '27'.
k = -2

Simplifying
k = -2

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