-5k-38=-7(-8+7k)-6

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Solution for -5k-38=-7(-8+7k)-6 equation:


Simplifying
-5k + -38 = -7(-8 + 7k) + -6

Reorder the terms:
-38 + -5k = -7(-8 + 7k) + -6
-38 + -5k = (-8 * -7 + 7k * -7) + -6
-38 + -5k = (56 + -49k) + -6

Reorder the terms:
-38 + -5k = 56 + -6 + -49k

Combine like terms: 56 + -6 = 50
-38 + -5k = 50 + -49k

Solving
-38 + -5k = 50 + -49k

Solving for variable 'k'.

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

Add '49k' to each side of the equation.
-38 + -5k + 49k = 50 + -49k + 49k

Combine like terms: -5k + 49k = 44k
-38 + 44k = 50 + -49k + 49k

Combine like terms: -49k + 49k = 0
-38 + 44k = 50 + 0
-38 + 44k = 50

Add '38' to each side of the equation.
-38 + 38 + 44k = 50 + 38

Combine like terms: -38 + 38 = 0
0 + 44k = 50 + 38
44k = 50 + 38

Combine like terms: 50 + 38 = 88
44k = 88

Divide each side by '44'.
k = 2

Simplifying
k = 2

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