2(k+7)+(k+3)+k+(k+7)=74

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Solution for 2(k+7)+(k+3)+k+(k+7)=74 equation:


Simplifying
2(k + 7) + (k + 3) + k + (k + 7) = 74

Reorder the terms:
2(7 + k) + (k + 3) + k + (k + 7) = 74
(7 * 2 + k * 2) + (k + 3) + k + (k + 7) = 74
(14 + 2k) + (k + 3) + k + (k + 7) = 74

Reorder the terms:
14 + 2k + (3 + k) + k + (k + 7) = 74

Remove parenthesis around (3 + k)
14 + 2k + 3 + k + k + (k + 7) = 74

Reorder the terms:
14 + 2k + 3 + k + k + (7 + k) = 74

Remove parenthesis around (7 + k)
14 + 2k + 3 + k + k + 7 + k = 74

Reorder the terms:
14 + 3 + 7 + 2k + k + k + k = 74

Combine like terms: 14 + 3 = 17
17 + 7 + 2k + k + k + k = 74

Combine like terms: 17 + 7 = 24
24 + 2k + k + k + k = 74

Combine like terms: 2k + k = 3k
24 + 3k + k + k = 74

Combine like terms: 3k + k = 4k
24 + 4k + k = 74

Combine like terms: 4k + k = 5k
24 + 5k = 74

Solving
24 + 5k = 74

Solving for variable 'k'.

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

Add '-24' to each side of the equation.
24 + -24 + 5k = 74 + -24

Combine like terms: 24 + -24 = 0
0 + 5k = 74 + -24
5k = 74 + -24

Combine like terms: 74 + -24 = 50
5k = 50

Divide each side by '5'.
k = 10

Simplifying
k = 10

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