6k+2=7(5k-8)

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Solution for 6k+2=7(5k-8) equation:


Simplifying
6k + 2 = 7(5k + -8)

Reorder the terms:
2 + 6k = 7(5k + -8)

Reorder the terms:
2 + 6k = 7(-8 + 5k)
2 + 6k = (-8 * 7 + 5k * 7)
2 + 6k = (-56 + 35k)

Solving
2 + 6k = -56 + 35k

Solving for variable 'k'.

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

Add '-35k' to each side of the equation.
2 + 6k + -35k = -56 + 35k + -35k

Combine like terms: 6k + -35k = -29k
2 + -29k = -56 + 35k + -35k

Combine like terms: 35k + -35k = 0
2 + -29k = -56 + 0
2 + -29k = -56

Add '-2' to each side of the equation.
2 + -2 + -29k = -56 + -2

Combine like terms: 2 + -2 = 0
0 + -29k = -56 + -2
-29k = -56 + -2

Combine like terms: -56 + -2 = -58
-29k = -58

Divide each side by '-29'.
k = 2

Simplifying
k = 2

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