-8(3k+7)+3(2-7k)=40

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Solution for -8(3k+7)+3(2-7k)=40 equation: 


Simplifying
-8(3k + 7) + 3(2 + -7k) = 40

Reorder the terms:
-8(7 + 3k) + 3(2 + -7k) = 40
(7 * -8 + 3k * -8) + 3(2 + -7k) = 40
(-56 + -24k) + 3(2 + -7k) = 40
-56 + -24k + (2 * 3 + -7k * 3) = 40
-56 + -24k + (6 + -21k) = 40

Reorder the terms:
-56 + 6 + -24k + -21k = 40

Combine like terms: -56 + 6 = -50
-50 + -24k + -21k = 40

Combine like terms: -24k + -21k = -45k
-50 + -45k = 40

Solving
-50 + -45k = 40

Solving for variable 'k'.

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

Add '50' to each side of the equation.
-50 + 50 + -45k = 40 + 50

Combine like terms: -50 + 50 = 0
0 + -45k = 40 + 50
-45k = 40 + 50

Combine like terms: 40 + 50 = 90
-45k = 90

Divide each side by '-45'.
k = -2

Simplifying
k = -2

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