-64=-4(8-k)+7(1+5k)

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Solution for -64=-4(8-k)+7(1+5k) equation:


Simplifying
-64 = -4(8 + -1k) + 7(1 + 5k)
-64 = (8 * -4 + -1k * -4) + 7(1 + 5k)
-64 = (-32 + 4k) + 7(1 + 5k)
-64 = -32 + 4k + (1 * 7 + 5k * 7)
-64 = -32 + 4k + (7 + 35k)

Reorder the terms:
-64 = -32 + 7 + 4k + 35k

Combine like terms: -32 + 7 = -25
-64 = -25 + 4k + 35k

Combine like terms: 4k + 35k = 39k
-64 = -25 + 39k

Solving
-64 = -25 + 39k

Solving for variable 'k'.

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

Add '-39k' to each side of the equation.
-64 + -39k = -25 + 39k + -39k

Combine like terms: 39k + -39k = 0
-64 + -39k = -25 + 0
-64 + -39k = -25

Add '64' to each side of the equation.
-64 + 64 + -39k = -25 + 64

Combine like terms: -64 + 64 = 0
0 + -39k = -25 + 64
-39k = -25 + 64

Combine like terms: -25 + 64 = 39
-39k = 39

Divide each side by '-39'.
k = -1

Simplifying
k = -1

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