-4(1+5k)-7(k-5)=-50

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Solution for -4(1+5k)-7(k-5)=-50 equation: 


Simplifying
-4(1 + 5k) + -7(k + -5) = -50
(1 * -4 + 5k * -4) + -7(k + -5) = -50
(-4 + -20k) + -7(k + -5) = -50

Reorder the terms:
-4 + -20k + -7(-5 + k) = -50
-4 + -20k + (-5 * -7 + k * -7) = -50
-4 + -20k + (35 + -7k) = -50

Reorder the terms:
-4 + 35 + -20k + -7k = -50

Combine like terms: -4 + 35 = 31
31 + -20k + -7k = -50

Combine like terms: -20k + -7k = -27k
31 + -27k = -50

Solving
31 + -27k = -50

Solving for variable 'k'.

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

Add '-31' to each side of the equation.
31 + -31 + -27k = -50 + -31

Combine like terms: 31 + -31 = 0
0 + -27k = -50 + -31
-27k = -50 + -31

Combine like terms: -50 + -31 = -81
-27k = -81

Divide each side by '-27'.
k = 3

Simplifying
k = 3

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