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

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


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

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

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

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

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

Combine like terms: 3 + -14 = -11
-11 + k + k + 2k = 74

Combine like terms: k + k = 2k
-11 + 2k + 2k = 74

Combine like terms: 2k + 2k = 4k
-11 + 4k = 74

Solving
-11 + 4k = 74

Solving for variable 'k'.

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

Add '11' to each side of the equation.
-11 + 11 + 4k = 74 + 11

Combine like terms: -11 + 11 = 0
0 + 4k = 74 + 11
4k = 74 + 11

Combine like terms: 74 + 11 = 85
4k = 85

Divide each side by '4'.
k = 21.25

Simplifying
k = 21.25

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