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 = 63
4k = 63

Divide each side by '4'.
k = 15.75

Simplifying
k = 15.75

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