5(k-3)-3(2k+4)=20

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Solution for 5(k-3)-3(2k+4)=20 equation: 


Simplifying
5(k + -3) + -3(2k + 4) = 20

Reorder the terms:
5(-3 + k) + -3(2k + 4) = 20
(-3 * 5 + k * 5) + -3(2k + 4) = 20
(-15 + 5k) + -3(2k + 4) = 20

Reorder the terms:
-15 + 5k + -3(4 + 2k) = 20
-15 + 5k + (4 * -3 + 2k * -3) = 20
-15 + 5k + (-12 + -6k) = 20

Reorder the terms:
-15 + -12 + 5k + -6k = 20

Combine like terms: -15 + -12 = -27
-27 + 5k + -6k = 20

Combine like terms: 5k + -6k = -1k
-27 + -1k = 20

Solving
-27 + -1k = 20

Solving for variable 'k'.

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

Add '27' to each side of the equation.
-27 + 27 + -1k = 20 + 27

Combine like terms: -27 + 27 = 0
0 + -1k = 20 + 27
-1k = 20 + 27

Combine like terms: 20 + 27 = 47
-1k = 47

Divide each side by '-1'.
k = -47

Simplifying
k = -47

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