8-3k=-6+7(6k+2)

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Solution for 8-3k=-6+7(6k+2) equation:


Simplifying
8 + -3k = -6 + 7(6k + 2)

Reorder the terms:
8 + -3k = -6 + 7(2 + 6k)
8 + -3k = -6 + (2 * 7 + 6k * 7)
8 + -3k = -6 + (14 + 42k)

Combine like terms: -6 + 14 = 8
8 + -3k = 8 + 42k

Add '-8' to each side of the equation.
8 + -8 + -3k = 8 + -8 + 42k

Combine like terms: 8 + -8 = 0
0 + -3k = 8 + -8 + 42k
-3k = 8 + -8 + 42k

Combine like terms: 8 + -8 = 0
-3k = 0 + 42k
-3k = 42k

Solving
-3k = 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.
-3k + -42k = 42k + -42k

Combine like terms: -3k + -42k = -45k
-45k = 42k + -42k

Combine like terms: 42k + -42k = 0
-45k = 0

Divide each side by '-45'.
k = 0

Simplifying
k = 0

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