3(6k+4)+7=3(1k+19)+7

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Solution for 3(6k+4)+7=3(1k+19)+7 equation: 


Simplifying
3(6k + 4) + 7 = 3(1k + 19) + 7

Reorder the terms:
3(4 + 6k) + 7 = 3(1k + 19) + 7
(4 * 3 + 6k * 3) + 7 = 3(1k + 19) + 7
(12 + 18k) + 7 = 3(1k + 19) + 7

Reorder the terms:
12 + 7 + 18k = 3(1k + 19) + 7

Combine like terms: 12 + 7 = 19
19 + 18k = 3(1k + 19) + 7

Reorder the terms:
19 + 18k = 3(19 + 1k) + 7
19 + 18k = (19 * 3 + 1k * 3) + 7
19 + 18k = (57 + 3k) + 7

Reorder the terms:
19 + 18k = 57 + 7 + 3k

Combine like terms: 57 + 7 = 64
19 + 18k = 64 + 3k

Solving
19 + 18k = 64 + 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
19 + 18k + -3k = 64 + 3k + -3k

Combine like terms: 18k + -3k = 15k
19 + 15k = 64 + 3k + -3k

Combine like terms: 3k + -3k = 0
19 + 15k = 64 + 0
19 + 15k = 64

Add '-19' to each side of the equation.
19 + -19 + 15k = 64 + -19

Combine like terms: 19 + -19 = 0
0 + 15k = 64 + -19
15k = 64 + -19

Combine like terms: 64 + -19 = 45
15k = 45

Divide each side by '15'.
k = 3

Simplifying
k = 3

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