205=-5(1-7k)

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Solution for 205=-5(1-7k) equation:


Simplifying
205 = -5(1 + -7k)
205 = (1 * -5 + -7k * -5)
205 = (-5 + 35k)

Solving
205 = -5 + 35k

Solving for variable 'k'.

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

Add '-35k' to each side of the equation.
205 + -35k = -5 + 35k + -35k

Combine like terms: 35k + -35k = 0
205 + -35k = -5 + 0
205 + -35k = -5

Add '-205' to each side of the equation.
205 + -205 + -35k = -5 + -205

Combine like terms: 205 + -205 = 0
0 + -35k = -5 + -205
-35k = -5 + -205

Combine like terms: -5 + -205 = -210
-35k = -210

Divide each side by '-35'.
k = 6

Simplifying
k = 6

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