4(k+5)=2k+10

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Solution for 4(k+5)=2k+10 equation: 


Simplifying
4(k + 5) = 2k + 10

Reorder the terms:
4(5 + k) = 2k + 10
(5 * 4 + k * 4) = 2k + 10
(20 + 4k) = 2k + 10

Reorder the terms:
20 + 4k = 10 + 2k

Solving
20 + 4k = 10 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
20 + 4k + -2k = 10 + 2k + -2k

Combine like terms: 4k + -2k = 2k
20 + 2k = 10 + 2k + -2k

Combine like terms: 2k + -2k = 0
20 + 2k = 10 + 0
20 + 2k = 10

Add '-20' to each side of the equation.
20 + -20 + 2k = 10 + -20

Combine like terms: 20 + -20 = 0
0 + 2k = 10 + -20
2k = 10 + -20

Combine like terms: 10 + -20 = -10
2k = -10

Divide each side by '2'.
k = -5

Simplifying
k = -5

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