k+2(-k+4)-3(k+5)=-4

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Solution for k+2(-k+4)-3(k+5)=-4 equation: 


Simplifying
k + 2(-1k + 4) + -3(k + 5) = -4

Reorder the terms:
k + 2(4 + -1k) + -3(k + 5) = -4
k + (4 * 2 + -1k * 2) + -3(k + 5) = -4
k + (8 + -2k) + -3(k + 5) = -4

Reorder the terms:
k + 8 + -2k + -3(5 + k) = -4
k + 8 + -2k + (5 * -3 + k * -3) = -4
k + 8 + -2k + (-15 + -3k) = -4

Reorder the terms:
8 + -15 + k + -2k + -3k = -4

Combine like terms: 8 + -15 = -7
-7 + k + -2k + -3k = -4

Combine like terms: k + -2k = -1k
-7 + -1k + -3k = -4

Combine like terms: -1k + -3k = -4k
-7 + -4k = -4

Solving
-7 + -4k = -4

Solving for variable 'k'.

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

Add '7' to each side of the equation.
-7 + 7 + -4k = -4 + 7

Combine like terms: -7 + 7 = 0
0 + -4k = -4 + 7
-4k = -4 + 7

Combine like terms: -4 + 7 = 3
-4k = 3

Divide each side by '-4'.
k = -0.75

Simplifying
k = -0.75

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