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 = -17
-17 + k + k + 2k = 74

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

Combine like terms: 2k + 2k = 4k
-17 + 4k = 74

Solving
-17 + 4k = 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 + 4k = 74 + 17

Combine like terms: -17 + 17 = 0
0 + 4k = 74 + 17
4k = 74 + 17

Combine like terms: 74 + 17 = 91
4k = 91

Divide each side by '4'.
k = 22.75

Simplifying
k = 22.75

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