35+6k=2k+7(4k+5)

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Solution for 35+6k=2k+7(4k+5) equation:


Simplifying
35 + 6k = 2k + 7(4k + 5)

Reorder the terms:
35 + 6k = 2k + 7(5 + 4k)
35 + 6k = 2k + (5 * 7 + 4k * 7)
35 + 6k = 2k + (35 + 28k)

Reorder the terms:
35 + 6k = 35 + 2k + 28k

Combine like terms: 2k + 28k = 30k
35 + 6k = 35 + 30k

Add '-35' to each side of the equation.
35 + -35 + 6k = 35 + -35 + 30k

Combine like terms: 35 + -35 = 0
0 + 6k = 35 + -35 + 30k
6k = 35 + -35 + 30k

Combine like terms: 35 + -35 = 0
6k = 0 + 30k
6k = 30k

Solving
6k = 30k

Solving for variable 'k'.

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

Add '-30k' to each side of the equation.
6k + -30k = 30k + -30k

Combine like terms: 6k + -30k = -24k
-24k = 30k + -30k

Combine like terms: 30k + -30k = 0
-24k = 0

Divide each side by '-24'.
k = 0

Simplifying
k = 0

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