4k-1-(6+3k)=-2(-k+5)

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Solution for 4k-1-(6+3k)=-2(-k+5) equation: 


Simplifying
4k + -1 + -1(6 + 3k) = -2(-1k + 5)
4k + -1 + (6 * -1 + 3k * -1) = -2(-1k + 5)
4k + -1 + (-6 + -3k) = -2(-1k + 5)

Reorder the terms:
-1 + -6 + 4k + -3k = -2(-1k + 5)

Combine like terms: -1 + -6 = -7
-7 + 4k + -3k = -2(-1k + 5)

Combine like terms: 4k + -3k = 1k
-7 + 1k = -2(-1k + 5)

Reorder the terms:
-7 + 1k = -2(5 + -1k)
-7 + 1k = (5 * -2 + -1k * -2)
-7 + 1k = (-10 + 2k)

Solving
-7 + 1k = -10 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
-7 + 1k + -2k = -10 + 2k + -2k

Combine like terms: 1k + -2k = -1k
-7 + -1k = -10 + 2k + -2k

Combine like terms: 2k + -2k = 0
-7 + -1k = -10 + 0
-7 + -1k = -10

Add '7' to each side of the equation.
-7 + 7 + -1k = -10 + 7

Combine like terms: -7 + 7 = 0
0 + -1k = -10 + 7
-1k = -10 + 7

Combine like terms: -10 + 7 = -3
-1k = -3

Divide each side by '-1'.
k = 3

Simplifying
k = 3

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