4-1(-7-k)=2(k+3)

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Solution for 4-1(-7-k)=2(k+3) equation: 


Simplifying
4 + -1(-7 + -1k) = 2(k + 3)
4 + (-7 * -1 + -1k * -1) = 2(k + 3)
4 + (7 + 1k) = 2(k + 3)

Combine like terms: 4 + 7 = 11
11 + 1k = 2(k + 3)

Reorder the terms:
11 + 1k = 2(3 + k)
11 + 1k = (3 * 2 + k * 2)
11 + 1k = (6 + 2k)

Solving
11 + 1k = 6 + 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.
11 + 1k + -2k = 6 + 2k + -2k

Combine like terms: 1k + -2k = -1k
11 + -1k = 6 + 2k + -2k

Combine like terms: 2k + -2k = 0
11 + -1k = 6 + 0
11 + -1k = 6

Add '-11' to each side of the equation.
11 + -11 + -1k = 6 + -11

Combine like terms: 11 + -11 = 0
0 + -1k = 6 + -11
-1k = 6 + -11

Combine like terms: 6 + -11 = -5
-1k = -5

Divide each side by '-1'.
k = 5

Simplifying
k = 5

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