4(3k-5)=12(3k-1)-5

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Solution for 4(3k-5)=12(3k-1)-5 equation: 


Simplifying
4(3k + -5) = 12(3k + -1) + -5

Reorder the terms:
4(-5 + 3k) = 12(3k + -1) + -5
(-5 * 4 + 3k * 4) = 12(3k + -1) + -5
(-20 + 12k) = 12(3k + -1) + -5

Reorder the terms:
-20 + 12k = 12(-1 + 3k) + -5
-20 + 12k = (-1 * 12 + 3k * 12) + -5
-20 + 12k = (-12 + 36k) + -5

Reorder the terms:
-20 + 12k = -12 + -5 + 36k

Combine like terms: -12 + -5 = -17
-20 + 12k = -17 + 36k

Solving
-20 + 12k = -17 + 36k

Solving for variable 'k'.

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

Add '-36k' to each side of the equation.
-20 + 12k + -36k = -17 + 36k + -36k

Combine like terms: 12k + -36k = -24k
-20 + -24k = -17 + 36k + -36k

Combine like terms: 36k + -36k = 0
-20 + -24k = -17 + 0
-20 + -24k = -17

Add '20' to each side of the equation.
-20 + 20 + -24k = -17 + 20

Combine like terms: -20 + 20 = 0
0 + -24k = -17 + 20
-24k = -17 + 20

Combine like terms: -17 + 20 = 3
-24k = 3

Divide each side by '-24'.
k = -0.125

Simplifying
k = -0.125

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