40+2k=3k+8(6k+5)

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Solution for 40+2k=3k+8(6k+5) equation:


Simplifying
40 + 2k = 3k + 8(6k + 5)

Reorder the terms:
40 + 2k = 3k + 8(5 + 6k)
40 + 2k = 3k + (5 * 8 + 6k * 8)
40 + 2k = 3k + (40 + 48k)

Reorder the terms:
40 + 2k = 40 + 3k + 48k

Combine like terms: 3k + 48k = 51k
40 + 2k = 40 + 51k

Add '-40' to each side of the equation.
40 + -40 + 2k = 40 + -40 + 51k

Combine like terms: 40 + -40 = 0
0 + 2k = 40 + -40 + 51k
2k = 40 + -40 + 51k

Combine like terms: 40 + -40 = 0
2k = 0 + 51k
2k = 51k

Solving
2k = 51k

Solving for variable 'k'.

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

Add '-51k' to each side of the equation.
2k + -51k = 51k + -51k

Combine like terms: 2k + -51k = -49k
-49k = 51k + -51k

Combine like terms: 51k + -51k = 0
-49k = 0

Divide each side by '-49'.
k = 0

Simplifying
k = 0

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