7k-49=7(6k+3)

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Solution for 7k-49=7(6k+3) equation:


Simplifying
7k + -49 = 7(6k + 3)

Reorder the terms:
-49 + 7k = 7(6k + 3)

Reorder the terms:
-49 + 7k = 7(3 + 6k)
-49 + 7k = (3 * 7 + 6k * 7)
-49 + 7k = (21 + 42k)

Solving
-49 + 7k = 21 + 42k

Solving for variable 'k'.

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

Add '-42k' to each side of the equation.
-49 + 7k + -42k = 21 + 42k + -42k

Combine like terms: 7k + -42k = -35k
-49 + -35k = 21 + 42k + -42k

Combine like terms: 42k + -42k = 0
-49 + -35k = 21 + 0
-49 + -35k = 21

Add '49' to each side of the equation.
-49 + 49 + -35k = 21 + 49

Combine like terms: -49 + 49 = 0
0 + -35k = 21 + 49
-35k = 21 + 49

Combine like terms: 21 + 49 = 70
-35k = 70

Divide each side by '-35'.
k = -2

Simplifying
k = -2

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