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

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


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

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

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

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

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

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

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

Solving
17 + 3k = 74

Solving for variable 'k'.

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

Add '-17' to each side of the equation.
17 + -17 + 3k = 74 + -17

Combine like terms: 17 + -17 = 0
0 + 3k = 74 + -17
3k = 74 + -17

Combine like terms: 74 + -17 = 57
3k = 57

Divide each side by '3'.
k = 19

Simplifying
k = 19

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