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

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


Simplifying
k + -1(k + 3) + -2(k + -7) = 74

Reorder the terms:
k + -1(3 + k) + -2(k + -7) = 74
k + (3 * -1 + k * -1) + -2(k + -7) = 74
k + (-3 + -1k) + -2(k + -7) = 74

Reorder the terms:
k + -3 + -1k + -2(-7 + k) = 74
k + -3 + -1k + (-7 * -2 + k * -2) = 74
k + -3 + -1k + (14 + -2k) = 74

Reorder the terms:
-3 + 14 + k + -1k + -2k = 74

Combine like terms: -3 + 14 = 11
11 + k + -1k + -2k = 74

Combine like terms: k + -1k = 0
11 + 0 + -2k = 74
11 + -2k = 74

Solving
11 + -2k = 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 + -2k = 74 + -11

Combine like terms: 11 + -11 = 0
0 + -2k = 74 + -11
-2k = 74 + -11

Combine like terms: 74 + -11 = 63
-2k = 63

Divide each side by '-2'.
k = -31.5

Simplifying
k = -31.5

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