3(5k+7)=(-2)(-4)k

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Solution for 3(5k+7)=(-2)(-4)k equation: 


Simplifying
3(5k + 7) = (-2)(-4) * k

Reorder the terms:
3(7 + 5k) = (-2)(-4) * k
(7 * 3 + 5k * 3) = (-2)(-4) * k
(21 + 15k) = (-2)(-4) * k

Multiply -2 * -4
21 + 15k = 8k

Solving
21 + 15k = 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
21 + 15k + -8k = 8k + -8k

Combine like terms: 15k + -8k = 7k
21 + 7k = 8k + -8k

Combine like terms: 8k + -8k = 0
21 + 7k = 0

Add '-21' to each side of the equation.
21 + -21 + 7k = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 7k = 0 + -21
7k = 0 + -21

Combine like terms: 0 + -21 = -21
7k = -21

Divide each side by '7'.
k = -3

Simplifying
k = -3

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