40=2(10+4k)+2k

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Solution for 40=2(10+4k)+2k equation:


Simplifying
40 = 2(10 + 4k) + 2k
40 = (10 * 2 + 4k * 2) + 2k
40 = (20 + 8k) + 2k

Combine like terms: 8k + 2k = 10k
40 = 20 + 10k

Solving
40 = 20 + 10k

Solving for variable 'k'.

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

Add '-10k' to each side of the equation.
40 + -10k = 20 + 10k + -10k

Combine like terms: 10k + -10k = 0
40 + -10k = 20 + 0
40 + -10k = 20

Add '-40' to each side of the equation.
40 + -40 + -10k = 20 + -40

Combine like terms: 40 + -40 = 0
0 + -10k = 20 + -40
-10k = 20 + -40

Combine like terms: 20 + -40 = -20
-10k = -20

Divide each side by '-10'.
k = 2

Simplifying
k = 2

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