4(k-12)=-3(6-5k)

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Solution for 4(k-12)=-3(6-5k) equation:


Simplifying
4(k + -12) = -3(6 + -5k)

Reorder the terms:
4(-12 + k) = -3(6 + -5k)
(-12 * 4 + k * 4) = -3(6 + -5k)
(-48 + 4k) = -3(6 + -5k)
-48 + 4k = (6 * -3 + -5k * -3)
-48 + 4k = (-18 + 15k)

Solving
-48 + 4k = -18 + 15k

Solving for variable 'k'.

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

Add '-15k' to each side of the equation.
-48 + 4k + -15k = -18 + 15k + -15k

Combine like terms: 4k + -15k = -11k
-48 + -11k = -18 + 15k + -15k

Combine like terms: 15k + -15k = 0
-48 + -11k = -18 + 0
-48 + -11k = -18

Add '48' to each side of the equation.
-48 + 48 + -11k = -18 + 48

Combine like terms: -48 + 48 = 0
0 + -11k = -18 + 48
-11k = -18 + 48

Combine like terms: -18 + 48 = 30
-11k = 30

Divide each side by '-11'.
k = -2.727272727

Simplifying
k = -2.727272727

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