17=5(-7-4k)+4(1+8k)

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Solution for 17=5(-7-4k)+4(1+8k) equation:


Simplifying
17 = 5(-7 + -4k) + 4(1 + 8k)
17 = (-7 * 5 + -4k * 5) + 4(1 + 8k)
17 = (-35 + -20k) + 4(1 + 8k)
17 = -35 + -20k + (1 * 4 + 8k * 4)
17 = -35 + -20k + (4 + 32k)

Reorder the terms:
17 = -35 + 4 + -20k + 32k

Combine like terms: -35 + 4 = -31
17 = -31 + -20k + 32k

Combine like terms: -20k + 32k = 12k
17 = -31 + 12k

Solving
17 = -31 + 12k

Solving for variable 'k'.

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

Add '-12k' to each side of the equation.
17 + -12k = -31 + 12k + -12k

Combine like terms: 12k + -12k = 0
17 + -12k = -31 + 0
17 + -12k = -31

Add '-17' to each side of the equation.
17 + -17 + -12k = -31 + -17

Combine like terms: 17 + -17 = 0
0 + -12k = -31 + -17
-12k = -31 + -17

Combine like terms: -31 + -17 = -48
-12k = -48

Divide each side by '-12'.
k = 4

Simplifying
k = 4

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