3(k+6)+4=4(1-3k)-3k

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Solution for 3(k+6)+4=4(1-3k)-3k equation: 


Simplifying
3(k + 6) + 4 = 4(1 + -3k) + -3k

Reorder the terms:
3(6 + k) + 4 = 4(1 + -3k) + -3k
(6 * 3 + k * 3) + 4 = 4(1 + -3k) + -3k
(18 + 3k) + 4 = 4(1 + -3k) + -3k

Reorder the terms:
18 + 4 + 3k = 4(1 + -3k) + -3k

Combine like terms: 18 + 4 = 22
22 + 3k = 4(1 + -3k) + -3k
22 + 3k = (1 * 4 + -3k * 4) + -3k
22 + 3k = (4 + -12k) + -3k

Combine like terms: -12k + -3k = -15k
22 + 3k = 4 + -15k

Solving
22 + 3k = 4 + -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.
22 + 3k + 15k = 4 + -15k + 15k

Combine like terms: 3k + 15k = 18k
22 + 18k = 4 + -15k + 15k

Combine like terms: -15k + 15k = 0
22 + 18k = 4 + 0
22 + 18k = 4

Add '-22' to each side of the equation.
22 + -22 + 18k = 4 + -22

Combine like terms: 22 + -22 = 0
0 + 18k = 4 + -22
18k = 4 + -22

Combine like terms: 4 + -22 = -18
18k = -18

Divide each side by '18'.
k = -1

Simplifying
k = -1

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